313946904128 has 112 divisors (see below), whose sum is σ = 755512880640. Its totient is φ = 127476633600.

The previous prime is 313946904107. The next prime is 313946904137. The reversal of 313946904128 is 821409649313.

It is a super-2 number, since 2×313946904128² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) 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 15 ways as a sum of consecutive naturals, for example, 269573 + ... + 836996.

It is an arithmetic number, because the mean of its divisors is an integer number (6745650720).

Almost surely, 2^313946904128 is an apocalyptic number.

It is an amenable number.

313946904128 is an abundant number, since it is smaller than the sum of its proper divisors (441565976512).

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

313946904128 is a wasteful number, since it uses less digits than its factorization.

313946904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106636 (or 1106626 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 313946904128 in words is "three hundred thirteen billion, nine hundred forty-six million, nine hundred four thousand, one hundred twenty-eight".