31944616704 has 1296 divisors, whose sum is σ = 135172826880. Its totient is φ = 7255941120.

The previous prime is 31944616687. The next prime is 31944616741. The reversal of 31944616704 is 40761644913.

31944616704 is a `hidden beast` number, since 31 + 94 + 461 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a self number, because there is not a number n which added to its sum of digits gives 31944616704.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1681295607 + ... + 1681295625.

Almost surely, 2^31944616704 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 31944616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67586413440).

31944616704 is an abundant number, since it is smaller than the sum of its proper divisors (103228210176).

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

31944616704 is an equidigital number, since it uses as much as digits as its factorization.

31944616704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 31944616704 in words is "thirty-one billion, nine hundred forty-four million, six hundred sixteen thousand, seven hundred four".