312528983872 has 336 divisors, whose sum is σ = 781969520640. Its totient is φ = 123159149568.

The previous prime is 312528983867. The next prime is 312528983881. The reversal of 312528983872 is 278389825213.

It is a super-2 number, since 2×312528983872² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571350703 + ... + 571351249.

It is an arithmetic number, because the mean of its divisors is an integer number (2327290240).

Almost surely, 2^312528983872 is an apocalyptic number.

312528983872 is a gapful number since it is divisible by the number (32) 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 312528983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390984760320).

312528983872 is an abundant number, since it is smaller than the sum of its proper divisors (469440536768).

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

312528983872 is a wasteful number, since it uses less digits than its factorization.

312528983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 841 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 312528983872 in words is "three hundred twelve billion, five hundred twenty-eight million, nine hundred eighty-three thousand, eight hundred seventy-two".