312433225728 has 416 divisors, whose sum is σ = 920768002560. Its totient is φ = 94197841920.

The previous prime is 312433225711. The next prime is 312433225757. The reversal of 312433225728 is 827522334213.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×312433225728² (a number of 24 digits) contains 22 as substring.

Its product of digits (483840) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 312433225728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916768175 + ... + 1916768337.

Almost surely, 2^312433225728 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 312433225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460384001280).

312433225728 is an abundant number, since it is smaller than the sum of its proper divisors (608334776832).

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

312433225728 is an equidigital number, since it uses as much as digits as its factorization.

312433225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 252 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The spelling of 312433225728 in words is "three hundred twelve billion, four hundred thirty-three million, two hundred twenty-five thousand, seven hundred twenty-eight".