382157882964 has 288 divisors, whose sum is σ = 1176730813440. Its totient is φ = 102987417600.

The previous prime is 382157882959. The next prime is 382157882983. The reversal of 382157882964 is 469288751283.

382157882964 is a `hidden beast` number, since 38 + 2 + 1 + 578 + 8 + 29 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36540424 + ... + 36550880.

It is an arithmetic number, because the mean of its divisors is an integer number (4085870880).

Almost surely, 2^382157882964 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 382157882964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588365406720).

382157882964 is an abundant number, since it is smaller than the sum of its proper divisors (794572930476).

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

382157882964 is a wasteful number, since it uses less digits than its factorization.

382157882964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751 (or 10746 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 382157882964 in words is "three hundred eighty-two billion, one hundred fifty-seven million, eight hundred eighty-two thousand, nine hundred sixty-four".