31968934692408 has 96 divisors (see below), whose sum is σ = 99263614750560. Its totient is φ = 9105167473920.

The previous prime is 31968934692407. The next prime is 31968934692419. The reversal of 31968934692408 is 80429643986913.

31968934692408 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 8 + 93 + 46 + 92 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31968934692407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99888223 + ... + 100207758.

It is an arithmetic number, because the mean of its divisors is an integer number (1033995986985).

Almost surely, 2^{31968934692408} is an apocalyptic number.

It is an amenable number.

31968934692408 is an abundant number, since it is smaller than the sum of its proper divisors (67294680058152).

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

31968934692408 is a wasteful number, since it uses less digits than its factorization.

31968934692408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200096317 (or 200096310 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 31968934692408 in words is "thirty-one trillion, nine hundred sixty-eight billion, nine hundred thirty-four million, six hundred ninety-two thousand, four hundred eight".