332082886464 has 1344 divisors, whose sum is σ = 1267460812800. Its totient is φ = 80932110336.

The previous prime is 332082886451. The next prime is 332082886489. The reversal of 332082886464 is 464688280233.

332082886464 is a `hidden beast` number, since 3 + 3 + 20 + 82 + 8 + 86 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×332082886464² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332082886464.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3423534864 + ... + 3423534960.

It is an arithmetic number, because the mean of its divisors is an integer number (943051200).

Almost surely, 2^332082886464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332082886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633730406400).

332082886464 is an abundant number, since it is smaller than the sum of its proper divisors (935377926336).

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

332082886464 is a wasteful number, since it uses less digits than its factorization.

332082886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 332082886464 in words is "three hundred thirty-two billion, eighty-two million, eight hundred eighty-six thousand, four hundred sixty-four".