21924916584025 has 243 divisors, whose sum is σ = 35241472392759. Its totient is φ = 13485326400000.

The previous prime is 21924916584019. The next prime is 21924916584089. The reversal of 21924916584025 is 52048561942912.

The square root of 21924916584025 is 4682405.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 19869386485081 + 2055530098944 = 4457509^2 + 1433712^2 .

It is not a de Polignac number, because 21924916584025 - 2³ = 21924916584017 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 87350265150 + ... + 87350265400.

Almost surely, 2^{21924916584025} is an apocalyptic number.

21924916584025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21924916584025 is the 4682405-th square number.

21924916584025 is the 2341203-rd centered octagonal number.

It is an amenable number.

21924916584025 is a deficient number, since it is larger than the sum of its proper divisors (13316555808734).

21924916584025 is an equidigital number, since it uses as much as digits as its factorization.

21924916584025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 21924916584025 in words is "twenty-one trillion, nine hundred twenty-four billion, nine hundred sixteen million, five hundred eighty-four thousand, twenty-five".