31692068868096 has 832 divisors, whose sum is σ = 115938826698240. Its totient is φ = 8330815733760.

The previous prime is 31692068868091. The next prime is 31692068868139. The reversal of 31692068868096 is 69086886029613.

31692068868096 is a `hidden beast` number, since 316 + 92 + 0 + 6 + 88 + 68 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 (31692068868091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3149986906 + ... + 3149996966.

It is an arithmetic number, because the mean of its divisors is an integer number (139349551320).

Almost surely, 2^{31692068868096} is an apocalyptic number.

31692068868096 is a gapful number since it is divisible by the number (36) 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 31692068868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57969413349120).

31692068868096 is an abundant number, since it is smaller than the sum of its proper divisors (84246757830144).

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

31692068868096 is a wasteful number, since it uses less digits than its factorization.

31692068868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 31692068868096 in words is "thirty-one trillion, six hundred ninety-two billion, sixty-eight million, eight hundred sixty-eight thousand, ninety-six".