385005183552 has 84 divisors (see below), whose sum is σ = 1203870394896. Its totient is φ = 116668235520.

The previous prime is 385005183487. The next prime is 385005183553. The reversal of 385005183552 is 255381500583.

385005183552 is a `hidden beast` number, since 3 + 8 + 50 + 0 + 518 + 35 + 52 = 666.

It is a super-2 number, since 2×385005183552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385005183498 and 385005183507.

It is not an unprimeable number, because it can be changed into a prime (385005183553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30376018 + ... + 30388689.

Almost surely, 2^385005183552 is an apocalyptic number.

385005183552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385005183552 is an abundant number, since it is smaller than the sum of its proper divisors (818865211344).

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

385005183552 is a wasteful number, since it uses less digits than its factorization.

385005183552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60764736 (or 60764723 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 385005183552 in words is "three hundred eighty-five billion, five million, one hundred eighty-three thousand, five hundred fifty-two".