312663754368 has 384 divisors, whose sum is σ = 1087345459200. Its totient is φ = 84242073600.

The previous prime is 312663754339. The next prime is 312663754373. The reversal of 312663754368 is 863457366213.

312663754368 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 6 + 37 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34162593 + ... + 34171743.

It is an arithmetic number, because the mean of its divisors is an integer number (2831628800).

Almost surely, 2^312663754368 is an apocalyptic number.

312663754368 is a gapful number since it is divisible by the number (38) 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 312663754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543672729600).

312663754368 is an abundant number, since it is smaller than the sum of its proper divisors (774681704832).

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

312663754368 is a wasteful number, since it uses less digits than its factorization.

312663754368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420 (or 9405 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 312663754368 in words is "three hundred twelve billion, six hundred sixty-three million, seven hundred fifty-four thousand, three hundred sixty-eight".