205684123164 has 48 divisors (see below), whose sum is σ = 516924159360. Its totient is φ = 63278009280.

The previous prime is 205684123157. The next prime is 205684123213. The reversal of 205684123164 is 461321486502.

It is a super-4 number, since 4×205684123164⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992907 + ... + 1182045.

It is an arithmetic number, because the mean of its divisors is an integer number (10769253320).

Almost surely, 2^205684123164 is an apocalyptic number.

It is an amenable number.

205684123164 is an abundant number, since it is smaller than the sum of its proper divisors (311240036196).

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

205684123164 is a wasteful number, since it uses less digits than its factorization.

205684123164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196130 (or 196128 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 205684123164 in words is "two hundred five billion, six hundred eighty-four million, one hundred twenty-three thousand, one hundred sixty-four".