382333803264 has 288 divisors, whose sum is σ = 1293434042880. Its totient is φ = 109129420800.

The previous prime is 382333803259. The next prime is 382333803317. The reversal of 382333803264 is 462308333283.

382333803264 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 3 + 380 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57138159 + ... + 57144849.

Almost surely, 2^382333803264 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 382333803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646717021440).

382333803264 is an abundant number, since it is smaller than the sum of its proper divisors (911100239616).

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

382333803264 is a wasteful number, since it uses less digits than its factorization.

382333803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 382333803264 in words is "three hundred eighty-two billion, three hundred thirty-three million, eight hundred three thousand, two hundred sixty-four".