31712414056416 has 72 divisors (see below), whose sum is σ = 92279437450200. Its totient is φ = 10324972014336.

The previous prime is 31712414056363. The next prime is 31712414056417. The reversal of 31712414056416 is 61465041421713.

31712414056416 is a `hidden beast` number, since 3 + 1 + 7 + 1 + 2 + 41 + 40 + 564 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31712414056417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1280366091 + ... + 1280390858.

It is an arithmetic number, because the mean of its divisors is an integer number (1281658853475).

Almost surely, 2^{31712414056416} is an apocalyptic number.

31712414056416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31712414056416 is an abundant number, since it is smaller than the sum of its proper divisors (60567023393784).

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

31712414056416 is a wasteful number, since it uses less digits than its factorization.

31712414056416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560757008 (or 2560756997 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 31712414056416 in words is "thirty-one trillion, seven hundred twelve billion, four hundred fourteen million, fifty-six thousand, four hundred sixteen".