312572743008 has 96 divisors (see below), whose sum is σ = 834382033632. Its totient is φ = 102430310400.

The previous prime is 312572742991. The next prime is 312572743051. The reversal of 312572743008 is 800347275213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12361098 + ... + 12386358.

It is an arithmetic number, because the mean of its divisors is an integer number (8691479517).

Almost surely, 2^312572743008 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 312572743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417191016816).

312572743008 is an abundant number, since it is smaller than the sum of its proper divisors (521809290624).

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

312572743008 is a wasteful number, since it uses less digits than its factorization.

312572743008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27448 (or 27440 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 312572743008 in words is "three hundred twelve billion, five hundred seventy-two million, seven hundred forty-three thousand, eight".