31999408249392 has 200 divisors, whose sum is σ = 92793706291440. Its totient is φ = 10645966356480.

The previous prime is 31999408249363. The next prime is 31999408249409. The reversal of 31999408249392 is 29394280499913.

31999408249392 is a `hidden beast` number, since 3 + 1 + 9 + 9 + 9 + 40 + 8 + 2 + 493 + 92 = 666.

It is a super-2 number, since 2×31999408249392² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31999408249392.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3139346248 + ... + 3139356440.

Almost surely, 2^{31999408249392} 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 31999408249392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46396853145720).

31999408249392 is an abundant number, since it is smaller than the sum of its proper divisors (60794298042048).

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

31999408249392 is a wasteful number, since it uses less digits than its factorization.

31999408249392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 31999408249392 in words is "thirty-one trillion, nine hundred ninety-nine billion, four hundred eight million, two hundred forty-nine thousand, three hundred ninety-two".