382509524768 has 144 divisors (see below), whose sum is σ = 928717864704. Its totient is φ = 154356088320.

The previous prime is 382509524759. The next prime is 382509524773. The reversal of 382509524768 is 867425905283.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692155 + ... + 1904837.

It is an arithmetic number, because the mean of its divisors is an integer number (6449429616).

Almost surely, 2^382509524768 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 382509524768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464358932352).

382509524768 is an abundant number, since it is smaller than the sum of its proper divisors (546208339936).

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

382509524768 is a wasteful number, since it uses less digits than its factorization.

382509524768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212775 (or 212760 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 59.

The spelling of 382509524768 in words is "three hundred eighty-two billion, five hundred nine million, five hundred twenty-four thousand, seven hundred sixty-eight".