31688692383744 has 480 divisors, whose sum is σ = 103079844134400. Its totient is φ = 9541240750080.

The previous prime is 31688692383743. The next prime is 31688692383767. The reversal of 31688692383744 is 44738329688613.

31688692383744 is a `hidden beast` number, since 3 + 1 + 68 + 86 + 92 + 38 + 374 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31688692383743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763948797 + ... + 763990275.

It is an arithmetic number, because the mean of its divisors is an integer number (214749675280).

Almost surely, 2^{31688692383744} 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 31688692383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51539922067200).

31688692383744 is an abundant number, since it is smaller than the sum of its proper divisors (71391151750656).

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

31688692383744 is a wasteful number, since it uses less digits than its factorization.

31688692383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41684 (or 41652 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 31688692383744 in words is "thirty-one trillion, six hundred eighty-eight billion, six hundred ninety-two million, three hundred eighty-three thousand, seven hundred forty-four".