382395618072 has 192 divisors, whose sum is σ = 1144363671360. Its totient is φ = 114605568000.

The previous prime is 382395618049. The next prime is 382395618119. The reversal of 382395618072 is 270816593283.

382395618072 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 9 + 561 + 8 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24821572 + ... + 24836972.

It is an arithmetic number, because the mean of its divisors is an integer number (5960227455).

Almost surely, 2^382395618072 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 382395618072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572181835680).

382395618072 is an abundant number, since it is smaller than the sum of its proper divisors (761968053288).

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

382395618072 is a wasteful number, since it uses less digits than its factorization.

382395618072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114 (or 16107 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 382395618072 in words is "three hundred eighty-two billion, three hundred ninety-five million, six hundred eighteen thousand, seventy-two".