312874964962560 has 9216 divisors, whose sum is σ = 1640580828364800. Its totient is φ = 54311465779200.

The previous prime is 312874964962537. The next prime is 312874964962561. The reversal of 312874964962560 is 65269469478213.

312874964962560 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 74 + 9 + 6 + 496 + 2 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312874964962561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2463582401217 + ... + 2463582401343.

It is an arithmetic number, because the mean of its divisors is an integer number (178014412800).

It is a 1-persistent number, because it is pandigital, but 2⋅312874964962560 = 625749929925120 is not.

Almost surely, 2^{312874964962560} is an apocalyptic number.

312874964962560 is a gapful number since it is divisible by the number (30) 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 312874964962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820290414182400).

312874964962560 is an abundant number, since it is smaller than the sum of its proper divisors (1327705863402240).

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

312874964962560 is a wasteful number, since it uses less digits than its factorization.

312874964962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 312874964962560 in words is "three hundred twelve trillion, eight hundred seventy-four billion, nine hundred sixty-four million, nine hundred sixty-two thousand, five hundred sixty".