312973157788416 has 360 divisors, whose sum is σ = 972194411034000. Its totient is φ = 100054789816320.

The previous prime is 312973157788337. The next prime is 312973157788453. The reversal of 312973157788416 is 614887751379213.

312973157788416 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 7 + 3 + 1 + 577 + 8 + 8 + 41 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47040660 + ... + 53280108.

It is an arithmetic number, because the mean of its divisors is an integer number (2700540030650).

Almost surely, 2^{312973157788416} is an apocalyptic number.

312973157788416 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 312973157788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486097205517000).

312973157788416 is an abundant number, since it is smaller than the sum of its proper divisors (659221253245584).

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

312973157788416 is an equidigital number, since it uses as much as digits as its factorization.

312973157788416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239577 (or 6239554 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 312973157788416 in words is "three hundred twelve trillion, nine hundred seventy-three billion, one hundred fifty-seven million, seven hundred eighty-eight thousand, four hundred sixteen".