31791036816 has 880 divisors, whose sum is σ = 126524759040. Its totient is φ = 7482689280.

The previous prime is 31791036709. The next prime is 31791036899. The reversal of 31791036816 is 61863019713.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 1382218981 + ... + 1382219003.

Almost surely, 2^31791036816 is an apocalyptic number.

31791036816 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 31791036816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63262379520).

31791036816 is an abundant number, since it is smaller than the sum of its proper divisors (94733722224).

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

31791036816 is a wasteful number, since it uses less digits than its factorization.

31791036816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 31791036816 in words is "thirty-one billion, seven hundred ninety-one million, thirty-six thousand, eight hundred sixteen".