31630805856 has 480 divisors, whose sum is σ = 104748069888. Its totient is φ = 9297607680.

The previous prime is 31630805849. The next prime is 31630805873. The reversal of 31630805856 is 65850803613.

31630805856 is a `hidden beast` number, since 3 + 1 + 63 + 0 + 8 + 0 + 585 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111769491 + ... + 111769773.

Almost surely, 2^31630805856 is an apocalyptic number.

31630805856 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 31630805856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52374034944).

31630805856 is an abundant number, since it is smaller than the sum of its proper divisors (73117264032).

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

31630805856 is a wasteful number, since it uses less digits than its factorization.

31630805856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 31630805856 in words is "thirty-one billion, six hundred thirty million, eight hundred five thousand, eight hundred fifty-six".