31961451674916 has 243 divisors, whose sum is σ = 85811851026993. Its totient is φ = 10029665479680.

The previous prime is 31961451674849. The next prime is 31961451674963. The reversal of 31961451674916 is 61947615416913.

The square root of 31961451674916 is 5653446.

It is a perfect power (a square), and thus also a powerful number.

31961451674916 is a `hidden beast` number, since 3 + 1 + 9 + 61 + 4 + 516 + 7 + 49 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31740265822500 + 221185852416 = 5633850^2 + 470304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55392463620 + ... + 55392464196.

Almost surely, 2^{31961451674916} is an apocalyptic number.

31961451674916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31961451674916 is the 5653446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31961451674916

31961451674916 is an abundant number, since it is smaller than the sum of its proper divisors (53850399352077).

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

31961451674916 is an equidigital number, since it uses as much as digits as its factorization.

31961451674916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 676 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 31961451674916 in words is "thirty-one trillion, nine hundred sixty-one billion, four hundred fifty-one million, six hundred seventy-four thousand, nine hundred sixteen".