31686657017652 has 432 divisors, whose sum is σ = 102032403664464. Its totient is φ = 8216183808000.

The previous prime is 31686657017651. The next prime is 31686657017671. The reversal of 31686657017652 is 25671075668613.

31686657017652 is a `hidden beast` number, since 3 + 1 + 6 + 8 + 6 + 6 + 570 + 1 + 7 + 6 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24352981395876 + 7333675621776 = 4934874^2 + 2708076^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 31686657017652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31686657017651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4449744652 + ... + 4449751772.

Almost surely, 2^{31686657017652} 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 31686657017652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51016201832232).

31686657017652 is an abundant number, since it is smaller than the sum of its proper divisors (70345746646812).

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

31686657017652 is a wasteful number, since it uses less digits than its factorization.

31686657017652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 31686657017652 in words is "thirty-one trillion, six hundred eighty-six billion, six hundred fifty-seven million, seventeen thousand, six hundred fifty-two".