386818160256 has 256 divisors, whose sum is σ = 1247563468800. Its totient is φ = 117017533440.

The previous prime is 386818160243. The next prime is 386818160269. The reversal of 386818160256 is 652061818683.

386818160256 is a `hidden beast` number, since 386 + 8 + 1 + 8 + 1 + 6 + 0 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (386818160243) and next prime (386818160269).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23067331 + ... + 23084093.

It is an arithmetic number, because the mean of its divisors is an integer number (4873294800).

Almost surely, 2^386818160256 is an apocalyptic number.

386818160256 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 386818160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623781734400).

386818160256 is an abundant number, since it is smaller than the sum of its proper divisors (860745308544).

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

386818160256 is a wasteful number, since it uses less digits than its factorization.

386818160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17404 (or 17386 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 386818160256 in words is "three hundred eighty-six billion, eight hundred eighteen million, one hundred sixty thousand, two hundred fifty-six".