312063982016720 has 320 divisors, whose sum is σ = 742670018576640. Its totient is φ = 121926422790144.

The previous prime is 312063982016719. The next prime is 312063982016747. The reversal of 312063982016720 is 27610289360213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238763566307 + ... + 238763567613.

It is an arithmetic number, because the mean of its divisors is an integer number (2320843808052).

Almost surely, 2^{312063982016720} 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 312063982016720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371335009288320).

312063982016720 is an abundant number, since it is smaller than the sum of its proper divisors (430606036559920).

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

312063982016720 is a wasteful number, since it uses less digits than its factorization.

312063982016720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 312063982016720 in words is "three hundred twelve trillion, sixty-three billion, nine hundred eighty-two million, sixteen thousand, seven hundred twenty".