332655669120 has 256 divisors, whose sum is σ = 1107469324800. Its totient is φ = 84846698496.

The previous prime is 332655669107. The next prime is 332655669169. The reversal of 332655669120 is 21966556233.

It is a super-2 number, since 2×332655669120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 332655669120.

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, 4151677 + ... + 4231043.

It is an arithmetic number, because the mean of its divisors is an integer number (4326052050).

Almost surely, 2^332655669120 is an apocalyptic number.

332655669120 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 332655669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553734662400).

332655669120 is an abundant number, since it is smaller than the sum of its proper divisors (774813655680).

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

332655669120 is a wasteful number, since it uses less digits than its factorization.

332655669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79485 (or 79473 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 332655669120 in words is "three hundred thirty-two billion, six hundred fifty-five million, six hundred sixty-nine thousand, one hundred twenty".