313277792256 has 720 divisors, whose sum is σ = 1082034495360. Its totient is φ = 86090711040.

The previous prime is 313277792231. The next prime is 313277792257. The reversal of 313277792256 is 652297772313.

It is a happy number.

313277792256 is a `hidden beast` number, since 31 + 3 + 277 + 7 + 92 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313277792257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750155175 + ... + 1750155353.

It is an arithmetic number, because the mean of its divisors is an integer number (1502825688).

Almost surely, 2^313277792256 is an apocalyptic number.

313277792256 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 313277792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541017247680).

313277792256 is an abundant number, since it is smaller than the sum of its proper divisors (768756703104).

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

313277792256 is a wasteful number, since it uses less digits than its factorization.

313277792256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 291 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 313277792256 in words is "three hundred thirteen billion, two hundred seventy-seven million, seven hundred ninety-two thousand, two hundred fifty-six".