382561213824 has 96 divisors (see below), whose sum is σ = 1101139439400. Its totient is φ = 127488006144.

The previous prime is 382561213823. The next prime is 382561213861. The reversal of 382561213824 is 428312165283.

382561213824 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 612 + 1 + 3 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 382561213824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382561213823) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4728012 + ... + 4808244.

Almost surely, 2^382561213824 is an apocalyptic number.

It is an amenable number.

382561213824 is an abundant number, since it is smaller than the sum of its proper divisors (718578225576).

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

382561213824 is a wasteful number, since it uses less digits than its factorization.

382561213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84392 (or 84377 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 382561213824 in words is "three hundred eighty-two billion, five hundred sixty-one million, two hundred thirteen thousand, eight hundred twenty-four".