312746107968 has 672 divisors, whose sum is σ = 1162317004800. Its totient is φ = 81909273600.

The previous prime is 312746107967. The next prime is 312746107991. The reversal of 312746107968 is 869701647213.

312746107968 is a `hidden beast` number, since 3 + 12 + 7 + 4 + 610 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (312746107967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49868673 + ... + 49874943.

It is an arithmetic number, because the mean of its divisors is an integer number (1729638400).

Almost surely, 2^312746107968 is an apocalyptic number.

312746107968 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 312746107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581158502400).

312746107968 is an abundant number, since it is smaller than the sum of its proper divisors (849570896832).

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

312746107968 is a wasteful number, since it uses less digits than its factorization.

312746107968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 312746107968 in words is "three hundred twelve billion, seven hundred forty-six million, one hundred seven thousand, nine hundred sixty-eight".