332352564909984 has 72 divisors (see below), whose sum is σ = 945997089972480. Its totient is φ = 110682270822528.

The previous prime is 332352564909983. The next prime is 332352564909997. The reversal of 332352564909984 is 489909465253233.

332352564909984 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 5 + 2 + 56 + 490 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×332352564909984² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (332352564909983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530506614 + ... + 531132725.

It is an arithmetic number, because the mean of its divisors is an integer number (13138848471840).

Almost surely, 2^{332352564909984} is an apocalyptic number.

It is an amenable number.

332352564909984 is an abundant number, since it is smaller than the sum of its proper divisors (613644525062496).

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

332352564909984 is a wasteful number, since it uses less digits than its factorization.

332352564909984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061640442 (or 1061640431 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 332352564909984 in words is "three hundred thirty-two trillion, three hundred fifty-two billion, five hundred sixty-four million, nine hundred nine thousand, nine hundred eighty-four".