56914655616 has 768 divisors, whose sum is σ = 213322636800. Its totient is φ = 14805504000.

The previous prime is 56914655587. The next prime is 56914655639. The reversal of 56914655616 is 61655641965.

56914655616 is a `hidden beast` number, since 5 + 6 + 9 + 14 + 6 + 5 + 5 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226751491 + ... + 226751741.

It is an arithmetic number, because the mean of its divisors is an integer number (277763850).

Almost surely, 2^56914655616 is an apocalyptic number.

56914655616 is a gapful number since it is divisible by the number (56) 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 56914655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106661318400).

56914655616 is an abundant number, since it is smaller than the sum of its proper divisors (156407981184).

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

56914655616 is a wasteful number, since it uses less digits than its factorization.

56914655616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 56914655616 in words is "fifty-six billion, nine hundred fourteen million, six hundred fifty-five thousand, six hundred sixteen".