205775955181449 has 105 divisors (see below), whose sum is σ = 323838055407229. Its totient is φ = 130217774492520.

The previous prime is 205775955181421. The next prime is 205775955181477. The reversal of 205775955181449 is 944181559577502.

The square root of 205775955181449 is 14344893.

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

205775955181449 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 7 + 5 + 95 + 518 + 14 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (205775955181421) and next prime (205775955181477).

It is not a de Polignac number, because 205775955181449 - 2⁹ = 205775955180937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205775955181649) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1570808818114 + ... + 1570808818244.

Almost surely, 2^{205775955181449} is an apocalyptic number.

205775955181449 is the 14344893-rd square number.

205775955181449 is the 7172447-th centered octagonal number.

It is an amenable number.

205775955181449 is a deficient number, since it is larger than the sum of its proper divisors (118062100225780).

205775955181449 is an frugal number, since it uses more digits than its factorization.

205775955181449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 72.

The spelling of 205775955181449 in words is "two hundred five trillion, seven hundred seventy-five billion, nine hundred fifty-five million, one hundred eighty-one thousand, four hundred forty-nine".