313961046756 has 288 divisors, whose sum is σ = 916016166912. Its totient is φ = 81923788800.

The previous prime is 313961046719. The next prime is 313961046767. The reversal of 313961046756 is 657640169313.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 313961046699 and 313961046708.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174325056 + ... + 174326856.

Almost surely, 2^313961046756 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 313961046756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458008083456).

313961046756 is an abundant number, since it is smaller than the sum of its proper divisors (602055120156).

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

313961046756 is a wasteful number, since it uses less digits than its factorization.

313961046756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 313961046756 in words is "three hundred thirteen billion, nine hundred sixty-one million, forty-six thousand, seven hundred fifty-six".