22612640625 has 63 divisors (see below), whose sum is σ = 40929925309. Its totient is φ = 12030000000.

The previous prime is 22612640623. The next prime is 22612640681. The reversal of 22612640625 is 52604621622.

The square root of 22612640625 is 150375.

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

22612640625 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 2 + 640 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 21120518241 + 1492122384 = 145329^2 + 38628^2 .

It is not a de Polignac number, because 22612640625 - 2¹ = 22612640623 is a prime.

It is a super-2 number, since 2×22612640625² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22612640625.

It is not an unprimeable number, because it can be changed into a prime (22612640623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 56390425 + ... + 56390825.

Almost surely, 2^22612640625 is an apocalyptic number.

22612640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22612640625 is the 150375-th square number.

22612640625 is the 75188-th centered octagonal number.

It is an amenable number.

22612640625 is a deficient number, since it is larger than the sum of its proper divisors (18317284684).

22612640625 is an frugal number, since it uses more digits than its factorization.

22612640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 22612640625 by its sum of digits (36), we get a square (814055062500 = 902250²).

The spelling of 22612640625 in words is "twenty-two billion, six hundred twelve million, six hundred forty thousand, six hundred twenty-five".