205514945864849 has 2 divisors, whose sum is σ = 205514945864850. Its totient is φ = 205514945864848.

The previous prime is 205514945864807. The next prime is 205514945864857. The reversal of 205514945864849 is 948468549415502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116164055311249 + 89350890553600 = 10777943^2 + 9452560^2 .

It is a cyclic number.

It is not a de Polignac number, because 205514945864849 - 2⁸ = 205514945864593 is a prime.

It is not a weakly prime, because it can be changed into another prime (205514942864849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102757472932424 + 102757472932425.

It is an arithmetic number, because the mean of its divisors is an integer number (102757472932425).

Almost surely, 2^{205514945864849} is an apocalyptic number.

It is an amenable number.

205514945864849 is a deficient number, since it is larger than the sum of its proper divisors (1).

205514945864849 is an equidigital number, since it uses as much as digits as its factorization.

205514945864849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1990656000, while the sum is 74.

The spelling of 205514945864849 in words is "two hundred five trillion, five hundred fourteen billion, nine hundred forty-five million, eight hundred sixty-four thousand, eight hundred forty-nine".