332125015956480 has 1056 divisors, whose sum is σ = 1233244345132800. Its totient is φ = 82488380620800.

The previous prime is 332125015956479. The next prime is 332125015956493. The reversal of 332125015956480 is 84659510521233.

332125015956480 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 2 + 5 + 0 + 1 + 595 + 6 + 48 + 0 = 666.

It is a super-2 number, since 2×332125015956480² (a number of 30 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 95 ways as a sum of consecutive naturals, for example, 4876197625 + ... + 4876265735.

It is an arithmetic number, because the mean of its divisors is an integer number (1167845023800).

Almost surely, 2^{332125015956480} is an apocalyptic number.

332125015956480 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 332125015956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616622172566400).

332125015956480 is an abundant number, since it is smaller than the sum of its proper divisors (901119329176320).

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

332125015956480 is a wasteful number, since it uses less digits than its factorization.

332125015956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68301 (or 68280 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 332125015956480 in words is "three hundred thirty-two trillion, one hundred twenty-five billion, fifteen million, nine hundred fifty-six thousand, four hundred eighty".