23891908564225 has 81 divisors (see below), whose sum is σ = 32372479831419. Its totient is φ = 17483947977600.

The previous prime is 23891908564217. The next prime is 23891908564229. The reversal of 23891908564225 is 52246580919832.

The square root of 23891908564225 is 4887935.

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 23362209901809 + 529698662416 = 4833447^2 + 727804^2 .

It is not a de Polignac number, because 23891908564225 - 2³ = 23891908564217 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23891908564229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 44162492455 + ... + 44162492995.

Almost surely, 2^{23891908564225} is an apocalyptic number.

23891908564225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23891908564225 is the 4887935-th square number.

23891908564225 is the 2443968-th centered octagonal number.

It is an amenable number.

23891908564225 is a deficient number, since it is larger than the sum of its proper divisors (8480571267194).

23891908564225 is an frugal number, since it uses more digits than its factorization.

23891908564225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

The spelling of 23891908564225 in words is "twenty-three trillion, eight hundred ninety-one billion, nine hundred eight million, five hundred sixty-four thousand, two hundred twenty-five".