205418339361 has 15 divisors (see below), whose sum is σ = 306865588161. Its totient is φ = 136942840188.

The previous prime is 205418339351. The next prime is 205418339411. The reversal of 205418339361 is 163933814502.

The square root of 205418339361 is 453231.

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

205418339361 is a `hidden beast` number, since 20 + 5 + 4 + 183 + 393 + 61 = 666.

It is not a de Polignac number, because 205418339361 - 2¹³ = 205418331169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205418339351) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4053900 + ... + 4104258.

Almost surely, 2^205418339361 is an apocalyptic number.

205418339361 is the 453231-st square number.

205418339361 is the 226616-th centered octagonal number.

It is an amenable number.

205418339361 is a deficient number, since it is larger than the sum of its proper divisors (101447248800).

205418339361 is an frugal number, since it uses more digits than its factorization.

205418339361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100730 (or 50362 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 205418339361 in words is "two hundred five billion, four hundred eighteen million, three hundred thirty-nine thousand, three hundred sixty-one".