312744952465920 has 2880 divisors, whose sum is σ = 1286392569606144. Its totient is φ = 69739846041600.

The previous prime is 312744952465901. The next prime is 312744952465943. The reversal of 312744952465920 is 29564259447213.

It is a happy number.

312744952465920 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 4 + 49 + 524 + 65 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×312744952465920² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 271715857345 + ... + 271715858495.

Almost surely, 2^{312744952465920} is an apocalyptic number.

312744952465920 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 312744952465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643196284803072).

312744952465920 is an abundant number, since it is smaller than the sum of its proper divisors (973647617140224).

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

312744952465920 is a wasteful number, since it uses less digits than its factorization.

312744952465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 312744952465920 in words is "three hundred twelve trillion, seven hundred forty-four billion, nine hundred fifty-two million, four hundred sixty-five thousand, nine hundred twenty".