313914784256 has 160 divisors (see below), whose sum is σ = 646863360000. Its totient is φ = 152144179200.

The previous prime is 313914784243. The next prime is 313914784297. The reversal of 313914784256 is 652487419313.

It is a junction number, because it is equal to n+sod(n) for n = 313914784198 and 313914784207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629087495 + ... + 629087993.

It is an arithmetic number, because the mean of its divisors is an integer number (4042896000).

Almost surely, 2^313914784256 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 313914784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323431680000).

313914784256 is an abundant number, since it is smaller than the sum of its proper divisors (332948575744).

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

313914784256 is a wasteful number, since it uses less digits than its factorization.

313914784256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The spelling of 313914784256 in words is "three hundred thirteen billion, nine hundred fourteen million, seven hundred eighty-four thousand, two hundred fifty-six".