31918957056 has 480 divisors, whose sum is σ = 109939534848. Its totient is φ = 8723496960.

The previous prime is 31918957009. The next prime is 31918957067. The reversal of 31918957056 is 65075981913.

31918957056 is a `hidden beast` number, since 3 + 1 + 9 + 18 + 9 + 570 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31918956993 and 31918957011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136991116 + ... + 136991348.

Almost surely, 2^31918957056 is an apocalyptic number.

31918957056 is a gapful number since it is divisible by the number (36) 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 31918957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54969767424).

31918957056 is an abundant number, since it is smaller than the sum of its proper divisors (78020577792).

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

31918957056 is a wasteful number, since it uses less digits than its factorization.

31918957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 31918957056 in words is "thirty-one billion, nine hundred eighteen million, nine hundred fifty-seven thousand, fifty-six".