312475934784 has 448 divisors, whose sum is σ = 972937986048. Its totient is φ = 87710515200.

The previous prime is 312475934777. The next prime is 312475934833. The reversal of 312475934784 is 487439574213.

It is a super-2 number, since 2×312475934784² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126353772 + ... + 126356244.

It is an arithmetic number, because the mean of its divisors is an integer number (2171736576).

Almost surely, 2^312475934784 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 312475934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486468993024).

312475934784 is an abundant number, since it is smaller than the sum of its proper divisors (660462051264).

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

312475934784 is a wasteful number, since it uses less digits than its factorization.

312475934784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2616 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 312475934784 in words is "three hundred twelve billion, four hundred seventy-five million, nine hundred thirty-four thousand, seven hundred eighty-four".