205385000823 has 48 divisors (see below), whose sum is σ = 303600960000. Its totient is φ = 133763011200.

The previous prime is 205385000813. The next prime is 205385000851. The reversal of 205385000823 is 328000583502.

205385000823 is a `hidden beast` number, since 20 + 53 + 8 + 500 + 0 + 82 + 3 = 666.

It is not a de Polignac number, because 205385000823 - 2⁹ = 205385000311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205385000813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114038523 + ... + 114040323.

It is an arithmetic number, because the mean of its divisors is an integer number (6325020000).

Almost surely, 2^205385000823 is an apocalyptic number.

205385000823 is a deficient number, since it is larger than the sum of its proper divisors (98215959177).

205385000823 is a wasteful number, since it uses less digits than its factorization.

205385000823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 205385000823 in words is "two hundred five billion, three hundred eighty-five million, eight hundred twenty-three", and thus it is an aban number.