31974494404608 has 512 divisors, whose sum is σ = 112979739571200. Its totient is φ = 8738332213248.

The previous prime is 31974494404591. The next prime is 31974494404651. The reversal of 31974494404608 is 80640449447913.

31974494404608 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 44 + 94 + 40 + 460 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142330260 + ... + 142554732.

It is an arithmetic number, because the mean of its divisors is an integer number (220663553850).

Almost surely, 2^{31974494404608} 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 31974494404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56489869785600).

31974494404608 is an abundant number, since it is smaller than the sum of its proper divisors (81005245166592).

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

31974494404608 is an equidigital number, since it uses as much as digits as its factorization.

31974494404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224542 (or 224508 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 31974494404608 in words is "thirty-one trillion, nine hundred seventy-four billion, four hundred ninety-four million, four hundred four thousand, six hundred eight".