313129529856 has 480 divisors, whose sum is σ = 1096024849920. Its totient is φ = 84757708800.

The previous prime is 313129529833. The next prime is 313129529863. The reversal of 313129529856 is 658925921313.

313129529856 is a `hidden beast` number, since 3 + 1 + 31 + 2 + 9 + 529 + 85 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20419600 + ... + 20434928.

It is an arithmetic number, because the mean of its divisors is an integer number (2283385104).

Almost surely, 2^313129529856 is an apocalyptic number.

313129529856 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 313129529856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548012424960).

313129529856 is an abundant number, since it is smaller than the sum of its proper divisors (782895320064).

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

313129529856 is a wasteful number, since it uses less digits than its factorization.

313129529856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15408 (or 15389 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 313129529856 in words is "three hundred thirteen billion, one hundred twenty-nine million, five hundred twenty-nine thousand, eight hundred fifty-six".