22957971264 has 112 divisors (see below), whose sum is σ = 68325837440. Its totient is φ = 7652610432.

The previous prime is 22957971251. The next prime is 22957971293. The reversal of 22957971264 is 46217975922.

22957971264 is a `hidden beast` number, since 2 + 2 + 9 + 579 + 7 + 1 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 22957971264.

It is a congruent number.

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, 57957 + ... + 221979.

It is an arithmetic number, because the mean of its divisors is an integer number (610052120).

Almost surely, 2^22957971264 is an apocalyptic number.

22957971264 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 22957971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34162918720).

22957971264 is an abundant number, since it is smaller than the sum of its proper divisors (45367866176).

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

22957971264 is an frugal number, since it uses more digits than its factorization.

22957971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164056 (or 164028 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 22957971264 in words is "twenty-two billion, nine hundred fifty-seven million, nine hundred seventy-one thousand, two hundred sixty-four".