22627680625 has 45 divisors (see below), whose sum is σ = 31136658861. Its totient is φ = 16426410000.

The previous prime is 22627680601. The next prime is 22627680637. The reversal of 22627680625 is 52608672622.

It is a happy number.

The square root of 22627680625 is 150425.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1774010161 + 20853670464 = 42119^2 + 144408^2 .

It is not a de Polignac number, because 22627680625 - 2⁷ = 22627680497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41366602 + ... + 41367148.

Almost surely, 2^22627680625 is an apocalyptic number.

22627680625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22627680625 is the 150425-th square number.

22627680625 is the 75213-rd centered octagonal number.

It is an amenable number.

22627680625 is a deficient number, since it is larger than the sum of its proper divisors (8508978236).

22627680625 is an frugal number, since it uses more digits than its factorization.

22627680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 22627680625 in words is "twenty-two billion, six hundred twenty-seven million, six hundred eighty thousand, six hundred twenty-five".