386825789690496 has 640 divisors, whose sum is σ = 1329282689011200. Its totient is φ = 110603897044992.

The previous prime is 386825789690477. The next prime is 386825789690507. The reversal of 386825789690496 is 694096987528683.

386825789690496 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 2 + 57 + 8 + 9 + 69 + 0 + 496 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179946421 + ... + 182083403.

It is an arithmetic number, because the mean of its divisors is an integer number (2077004201580).

Almost surely, 2^{386825789690496} is an apocalyptic number.

386825789690496 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 386825789690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664641344505600).

386825789690496 is an abundant number, since it is smaller than the sum of its proper divisors (942456899320704).

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

386825789690496 is a wasteful number, since it uses less digits than its factorization.

386825789690496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137118 (or 2137097 counting only the distinct ones).

The product of its (nonzero) digits is 67722117120, while the sum is 90.

The spelling of 386825789690496 in words is "three hundred eighty-six trillion, eight hundred twenty-five billion, seven hundred eighty-nine million, six hundred ninety thousand, four hundred ninety-six".