23252724864 has 128 divisors (see below), whose sum is σ = 68693328000. Its totient is φ = 7743513600.

The previous prime is 23252724829. The next prime is 23252724883. The reversal of 23252724864 is 46842725232.

23252724864 is a `hidden beast` number, since 2 + 325 + 27 + 248 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4555914 + ... + 4561014.

It is an arithmetic number, because the mean of its divisors is an integer number (536666625).

Almost surely, 2^23252724864 is an apocalyptic number.

23252724864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23252724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34346664000).

23252724864 is an abundant number, since it is smaller than the sum of its proper divisors (45440603136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23252724864 is a wasteful number, since it uses less digits than its factorization.

23252724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6425 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 23252724864 in words is "twenty-three billion, two hundred fifty-two million, seven hundred twenty-four thousand, eight hundred sixty-four".