385565666256 has 120 divisors (see below), whose sum is σ = 1091571912704. Its totient is φ = 127037756160.

The previous prime is 385565666203. The next prime is 385565666263. The reversal of 385565666256 is 652666565583.

It is a junction number, because it is equal to n+sod(n) for n = 385565666193 and 385565666202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4917150 + ... + 4994946.

Almost surely, 2^385565666256 is an apocalyptic number.

385565666256 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 385565666256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545785956352).

385565666256 is an abundant number, since it is smaller than the sum of its proper divisors (706006246448).

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

385565666256 is a wasteful number, since it uses less digits than its factorization.

385565666256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78209 (or 78200 counting only the distinct ones).

The product of its digits is 233280000, while the sum is 63.

The spelling of 385565666256 in words is "three hundred eighty-five billion, five hundred sixty-five million, six hundred sixty-six thousand, two hundred fifty-six".