22918756464 has 160 divisors (see below), whose sum is σ = 67688048640. Its totient is φ = 7421787648.

The previous prime is 22918756457. The next prime is 22918756541. The reversal of 22918756464 is 46465781922.

22918756464 is a `hidden beast` number, since 2 + 2 + 9 + 18 + 7 + 564 + 64 = 666.

It is a super-2 number, since 2×22918756464² (a number of 22 digits) contains 22 as substring.

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 22918756464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107489 + ... + 2118335.

It is an arithmetic number, because the mean of its divisors is an integer number (423050304).

Almost surely, 2^22918756464 is an apocalyptic number.

22918756464 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 22918756464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33844024320).

22918756464 is an abundant number, since it is smaller than the sum of its proper divisors (44769292176).

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

22918756464 is a wasteful number, since it uses less digits than its factorization.

22918756464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11004 (or 10992 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 22918756464 in words is "twenty-two billion, nine hundred eighteen million, seven hundred fifty-six thousand, four hundred sixty-four".