31086482688 has 216 divisors, whose sum is σ = 91402365600. Its totient is φ = 10159288320.

The previous prime is 31086482641. The next prime is 31086482723. The reversal of 31086482688 is 88628468013.

31086482688 is a `hidden beast` number, since 3 + 1 + 0 + 86 + 482 + 6 + 88 = 666.

It is a super-2 number, since 2×31086482688² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28493023 + ... + 28494113.

It is an arithmetic number, because the mean of its divisors is an integer number (423159100).

Almost surely, 2^31086482688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31086482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45701182800).

31086482688 is an abundant number, since it is smaller than the sum of its proper divisors (60315882912).

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

31086482688 is a wasteful number, since it uses less digits than its factorization.

31086482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 31086482688 in words is "thirty-one billion, eighty-six million, four hundred eighty-two thousand, six hundred eighty-eight".