How old was Prince Alexander of Prussia when Prince Frederick of Prussia died?

What was the age (length of time since creation) of Prince Friedrich Wilhelm Ludwig Alexander of Prussia (21 June 1820 - 4 January 1896), the eldest child of Prince Frederick of Prussia and his wife Princess Wilhelmine of Anhalt-Bernburg at the time Prince Friedrich Georg Wilhelm Christoph of Prussia (December 19 1911-April 20 1966), the son of Crown Prince Wilhelm of Germany and Duchess Cecilie of Mecklenburg-Schwerin is someone who died on?

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I followed this chain of reasoning:

I know from locally stored knowledge that:
April 20th 1966 is the date of death of Prince Frederick of Prussia ([fact: ["18796829@trueknowledge.com"]])

June 21st 1820 is the birthdate of Prince Alexander of Prussia ([fact: ["1054062698@trueknowledge.com"]])

By calculation (generator: ["human_age@trueknowledge.com"]) I know that:
Fact 1: 145 years, 9 months and 30 days old is the age of Prince Alexander of Prussia

Fact 1 is true at April 20th 1966

By calculation (generator: ["applies_at_timepoint@trueknowledge.com"]) I know that:
Fact 1 is true at April 1966

By calculation (generator: ["human_age@trueknowledge.com"]) I know that:
Fact 1: 145 years, 9 months and 30 days old is a age

Fact 1: 145 years, 9 months and 30 days old applies to Prince Alexander of Prussia

Fact 1 is true at April 20th 1966

I know from locally stored knowledge that:
1820 is the birthdate of Prince Alexander of Prussia ([fact: ["1054062686@trueknowledge.com"]])

By calculation (generator: ["human_age@trueknowledge.com"]) I know that:
Fact 1: between 145 years and 4 months and 146 years and 3 months old is the age of Prince Alexander of Prussia

Fact 1 is true at April 20th 1966

By calculation (generator: ["applies_at_timepoint@trueknowledge.com"]) I know that:
Fact 1 is true at April 1966

By calculation (generator: ["human_age@trueknowledge.com"]) I know that:
Fact 1: between 145 years and 4 months and 146 years and 3 months old is a age

Fact 1: between 145 years and 4 months and 146 years and 3 months old applies to Prince Alexander of Prussia

Fact 1 is true at April 20th 1966

By calculation (generator: ["ismoreaccurate1@trueknowledge.com"]) I know that:
April 20th 1966 is a more accurate version of April 1966

I used the following facts to provide this answer:

April 20th 1966 is the date of death of Prince Frederick of Prussia

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June 21st 1820 is the birthdate of Prince Alexander of Prussia

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1820 is the birthdate of Prince Alexander of Prussia

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