205196944141809 has 45 divisors (see below), whose sum is σ = 316741930873929. Its totient is φ = 132382546807320.

The previous prime is 205196944141757. The next prime is 205196944141831. The reversal of 205196944141809 is 908141449691502.

The square root of 205196944141809 is 14324697.

It is a perfect power (a square), and thus also a powerful number.

205196944141809 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 9 + 6 + 9 + 441 + 4 + 180 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-205196944141809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205196944121809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3996564792 + ... + 3996616134.

Almost surely, 2^{205196944141809} is an apocalyptic number.

205196944141809 is the 14324697-th square number.

205196944141809 is the 7162349-th centered octagonal number.

It is an amenable number.

205196944141809 is a deficient number, since it is larger than the sum of its proper divisors (111544986732120).

205196944141809 is an frugal number, since it uses more digits than its factorization.

205196944141809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102760 (or 51377 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 205196944141809 in words is "two hundred five trillion, one hundred ninety-six billion, nine hundred forty-four million, one hundred forty-one thousand, eight hundred nine".