382857083136 has 1008 divisors, whose sum is σ = 1327050648000. Its totient is φ = 109107855360.

The previous prime is 382857083111. The next prime is 382857083149. The reversal of 382857083136 is 631380758283.

382857083136 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 570 + 8 + 31 + 36 = 666.

It is a super-2 number, since 2×382857083136² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3512450250 + ... + 3512450358.

It is an arithmetic number, because the mean of its divisors is an integer number (1316518500).

Almost surely, 2^382857083136 is an apocalyptic number.

382857083136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382857083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663525324000).

382857083136 is an abundant number, since it is smaller than the sum of its proper divisors (944193564864).

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

382857083136 is a wasteful number, since it uses less digits than its factorization.

382857083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 382857083136 in words is "three hundred eighty-two billion, eight hundred fifty-seven million, eighty-three thousand, one hundred thirty-six".