313746656256 has 352 divisors, whose sum is σ = 1020015187200. Its totient is φ = 94476533760.

The previous prime is 313746656239. The next prime is 313746656257. The reversal of 313746656256 is 652656647313.

313746656256 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 4 + 6 + 6 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (313746656257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49569700 + ... + 49576028.

Almost surely, 2^313746656256 is an apocalyptic number.

313746656256 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 313746656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510007593600).

313746656256 is an abundant number, since it is smaller than the sum of its proper divisors (706268530944).

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

313746656256 is a wasteful number, since it uses less digits than its factorization.

313746656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6508 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 313746656256 in words is "three hundred thirteen billion, seven hundred forty-six million, six hundred fifty-six thousand, two hundred fifty-six".