204491229801849 has 243 divisors, whose sum is σ = 334566966612333. Its totient is φ = 120323536210944.

The previous prime is 204491229801841. The next prime is 204491229801871. The reversal of 204491229801849 is 948108922194402.

The square root of 204491229801849 is 14300043.

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

204491229801849 is a `hidden beast` number, since 2 + 0 + 4 + 491 + 2 + 2 + 98 + 0 + 18 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25823095579449 + 178668134222400 = 5081643^2 + 13366680^2 .

It is not a de Polignac number, because 204491229801849 - 2³ = 204491229801841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204491229801841) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1224498381964 + ... + 1224498382130.

Almost surely, 2^{204491229801849} is an apocalyptic number.

204491229801849 is the 14300043-rd square number.

204491229801849 is the 7150022-nd centered octagonal number.

It is an amenable number.

204491229801849 is a deficient number, since it is larger than the sum of its proper divisors (130075736810484).

204491229801849 is an equidigital number, since it uses as much as digits as its factorization.

204491229801849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 204491229801849 in words is "two hundred four trillion, four hundred ninety-one billion, two hundred twenty-nine million, eight hundred one thousand, eight hundred forty-nine".