313561868256 has 1920 divisors, whose sum is σ = 1287357603840. Its totient is φ = 72559411200.

The previous prime is 313561868231. The next prime is 313561868297. The reversal of 313561868256 is 652868165313.

It is a happy number.

313561868256 is a `hidden beast` number, since 3 + 13 + 5 + 618 + 6 + 8 + 2 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5140358466 + ... + 5140358526.

It is an arithmetic number, because the mean of its divisors is an integer number (670498752).

Almost surely, 2^313561868256 is an apocalyptic number.

313561868256 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 313561868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643678801920).

313561868256 is an abundant number, since it is smaller than the sum of its proper divisors (973795735584).

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

313561868256 is a wasteful number, since it uses less digits than its factorization.

313561868256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 313561868256 in words is "three hundred thirteen billion, five hundred sixty-one million, eight hundred sixty-eight thousand, two hundred fifty-six".