31712896512 has 240 divisors, whose sum is σ = 100103807232. Its totient is φ = 9585192960.

The previous prime is 31712896487. The next prime is 31712896559. The reversal of 31712896512 is 21569821713.

31712896512 is a `hidden beast` number, since 3 + 1 + 7 + 128 + 9 + 6 + 512 = 666.

It is a super-2 number, since 2×31712896512² (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, 32794653 + ... + 32795619.

Almost surely, 2^31712896512 is an apocalyptic number.

31712896512 is a gapful number since it is divisible by the number (32) 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 31712896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50051903616).

31712896512 is an abundant number, since it is smaller than the sum of its proper divisors (68390910720).

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

31712896512 is a wasteful number, since it uses less digits than its factorization.

31712896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1630 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 31712896512 in words is "thirty-one billion, seven hundred twelve million, eight hundred ninety-six thousand, five hundred twelve".