204006692241 has 27 divisors (see below), whose sum is σ = 323924098953. Its totient is φ = 123631386120.

The previous prime is 204006692159. The next prime is 204006692249. The reversal of 204006692241 is 142296600402.

The square root of 204006692241 is 451671.

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

204006692241 is a `hidden beast` number, since 2 + 0 + 400 + 6 + 6 + 9 + 2 + 241 = 666.

It is not a de Polignac number, because 204006692241 - 2¹⁷ = 204006561169 is a prime.

It is a super-2 number, since 2×204006692241² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204006692196 and 204006692205.

It is not an unprimeable number, because it can be changed into a prime (204006692249) 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, 14898300 + ... + 14911986.

Almost surely, 2^204006692241 is an apocalyptic number.

204006692241 is the 451671-st square number.

204006692241 is the 225836-th centered octagonal number.

It is an amenable number.

204006692241 is a deficient number, since it is larger than the sum of its proper divisors (119917406712).

204006692241 is an frugal number, since it uses more digits than its factorization.

204006692241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27402 (or 13701 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 204006692241 by its sum of digits (36), we get a square (7344240920676 = 2710026²).

The spelling of 204006692241 in words is "two hundred four billion, six million, six hundred ninety-two thousand, two hundred forty-one".