56311164144 has 80 divisors (see below), whose sum is σ = 161736349600. Its totient is φ = 18758490624.

The previous prime is 56311164131. The next prime is 56311164193. The reversal of 56311164144 is 44146111365.

56311164144 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 1 + 1 + 641 + 4 + 4 = 666.

It is a super-2 number, since 2×56311164144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56311164099 and 56311164108.

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, 654582 + ... + 735594.

It is an arithmetic number, because the mean of its divisors is an integer number (2021704370).

Almost surely, 2^56311164144 is an apocalyptic number.

56311164144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56311164144 is an abundant number, since it is smaller than the sum of its proper divisors (105425185456).

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

56311164144 is a wasteful number, since it uses less digits than its factorization.

56311164144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82639 (or 82627 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 56311164144 in words is "fifty-six billion, three hundred eleven million, one hundred sixty-four thousand, one hundred forty-four".