31741997746368 has 672 divisors, whose sum is σ = 106071775257600. Its totient is φ = 8199772618752.

The previous prime is 31741997746337. The next prime is 31741997746411. The reversal of 31741997746368 is 86364779914713.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 31741997746368.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8535087613 + ... + 8535091331.

Almost surely, 2^{31741997746368} 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 31741997746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53035887628800).

31741997746368 is an abundant number, since it is smaller than the sum of its proper divisors (74329777511232).

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

31741997746368 is a wasteful number, since it uses less digits than its factorization.

31741997746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4506 counting only the distinct ones).

The product of its digits is 1152216576, while the sum is 75.

The spelling of 31741997746368 in words is "thirty-one trillion, seven hundred forty-one billion, nine hundred ninety-seven million, seven hundred forty-six thousand, three hundred sixty-eight".