56914888464 has 720 divisors, whose sum is σ = 207466721280. Its totient is φ = 15016700160.

The previous prime is 56914888409. The next prime is 56914888529. The reversal of 56914888464 is 46488841965.

56914888464 is a `hidden beast` number, since 5 + 6 + 91 + 4 + 8 + 88 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135834847 + ... + 135835265.

It is an arithmetic number, because the mean of its divisors is an integer number (288148224).

Almost surely, 2^56914888464 is an apocalyptic number.

56914888464 is a gapful number since it is divisible by the number (54) 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 56914888464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103733360640).

56914888464 is an abundant number, since it is smaller than the sum of its proper divisors (150551832816).

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

56914888464 is a wasteful number, since it uses less digits than its factorization.

56914888464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 56914888464 in words is "fifty-six billion, nine hundred fourteen million, eight hundred eighty-eight thousand, four hundred sixty-four".