312114474568960 has 576 divisors, whose sum is σ = 877185092044800. Its totient is φ = 104199761166336.

The previous prime is 312114474568957. The next prime is 312114474568961. The reversal of 312114474568960 is 69865474411213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312114474568961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41855229552 + ... + 41855237008.

It is an arithmetic number, because the mean of its divisors is an integer number (1522890784800).

It is a 1-persistent number, because it is pandigital, but 2⋅312114474568960 = 624228949137920 is not.

Almost surely, 2^{312114474568960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312114474568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438592546022400).

312114474568960 is an abundant number, since it is smaller than the sum of its proper divisors (565070617475840).

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

312114474568960 is an equidigital number, since it uses as much as digits as its factorization.

312114474568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 312114474568960 in words is "three hundred twelve trillion, one hundred fourteen billion, four hundred seventy-four million, five hundred sixty-eight thousand, nine hundred sixty".