204954492961 has 27 divisors (see below), whose sum is σ = 216409801881. Its totient is φ = 194096933184.

The previous prime is 204954492959. The next prime is 204954492979. The reversal of 204954492961 is 169294459402.

The square root of 204954492961 is 452719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17157070225 + 187797422736 = 130985^2 + 433356^2 .

It is not a de Polignac number, because 204954492961 - 2¹ = 204954492959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204954492461) 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, 879632901 + ... + 879633133.

Almost surely, 2^204954492961 is an apocalyptic number.

204954492961 is the 452719-th square number.

204954492961 is the 226360-th centered octagonal number.

It is an amenable number.

204954492961 is a deficient number, since it is larger than the sum of its proper divisors (11455308920).

204954492961 is an frugal number, since it uses more digits than its factorization.

204954492961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 204954492961 in words is "two hundred four billion, nine hundred fifty-four million, four hundred ninety-two thousand, nine hundred sixty-one".