332625642664032 has 48 divisors (see below), whose sum is σ = 970158124439280. Its totient is φ = 110875214221056.

The previous prime is 332625642664013. The next prime is 332625642664037. The reversal of 332625642664032 is 230466246526233.

332625642664032 is a `hidden beast` number, since 3 + 3 + 2 + 6 + 2 + 564 + 2 + 6 + 6 + 40 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×332625642664032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 332625642664032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332625642664037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192491690493 + ... + 192491692220.

It is an arithmetic number, because the mean of its divisors is an integer number (20211627592485).

Almost surely, 2^{332625642664032} is an apocalyptic number.

332625642664032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332625642664032 is an abundant number, since it is smaller than the sum of its proper divisors (637532481775248).

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

332625642664032 is a wasteful number, since it uses less digits than its factorization.

332625642664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384983382732 (or 384983382718 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 54.

The spelling of 332625642664032 in words is "three hundred thirty-two trillion, six hundred twenty-five billion, six hundred forty-two million, six hundred sixty-four thousand, thirty-two".