31375791682416 has 320 divisors, whose sum is σ = 98477611315200. Its totient is φ = 9521622835200.

The previous prime is 31375791682381. The next prime is 31375791682427. The reversal of 31375791682416 is 61428619757313.

31375791682416 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 57 + 9 + 168 + 2 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532476636 + ... + 532535556.

It is an arithmetic number, because the mean of its divisors is an integer number (307742535360).

Almost surely, 2^{31375791682416} is an apocalyptic number.

31375791682416 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 31375791682416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49238805657600).

31375791682416 is an abundant number, since it is smaller than the sum of its proper divisors (67101819632784).

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

31375791682416 is a wasteful number, since it uses less digits than its factorization.

31375791682416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61325 (or 61313 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 31375791682416 in words is "thirty-one trillion, three hundred seventy-five billion, seven hundred ninety-one million, six hundred eighty-two thousand, four hundred sixteen".