205441908049 has 27 divisors (see below), whose sum is σ = 242575513947. Its totient is φ = 173485023264.

The previous prime is 205441908047. The next prime is 205441908109. The reversal of 205441908049 is 940809144502.

The square root of 205441908049 is 453257.

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

It can be written as a sum of positive squares in only one way, i.e., 116618835025 + 88823073024 = 341495^2 + 298032^2 .

It is not a de Polignac number, because 205441908049 - 2¹ = 205441908047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205441908041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 231613884 + ... + 231614770.

Almost surely, 2^205441908049 is an apocalyptic number.

205441908049 is the 453257-th square number.

205441908049 is the 226629-th centered octagonal number.

It is an amenable number.

205441908049 is a deficient number, since it is larger than the sum of its proper divisors (37133605898).

205441908049 is an frugal number, since it uses more digits than its factorization.

205441908049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 205441908049 in words is "two hundred five billion, four hundred forty-one million, nine hundred eight thousand, forty-nine".