31246116016896 has 648 divisors, whose sum is σ = 101634696373392. Its totient is φ = 9219863347200.

The previous prime is 31246116016867. The next prime is 31246116016919. The reversal of 31246116016896 is 69861061164213.

31246116016896 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 611 + 6 + 0 + 16 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×31246116016896² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6709492200 + ... + 6709496856.

Almost surely, 2^{31246116016896} is an apocalyptic number.

31246116016896 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 31246116016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50817348186696).

31246116016896 is an abundant number, since it is smaller than the sum of its proper divisors (70388580356496).

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

31246116016896 is a wasteful number, since it uses less digits than its factorization.

31246116016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 31246116016896 in words is "thirty-one trillion, two hundred forty-six billion, one hundred sixteen million, sixteen thousand, eight hundred ninety-six".