205441114064321 has 2 divisors, whose sum is σ = 205441114064322. Its totient is φ = 205441114064320.

The previous prime is 205441114064269. The next prime is 205441114064339. The reversal of 205441114064321 is 123460411144502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106670909641921 + 98770204422400 = 10328161^2 + 9938320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205441114064321 is a prime.

It is not a weakly prime, because it can be changed into another prime (205441114064821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102720557032160 + 102720557032161.

It is an arithmetic number, because the mean of its divisors is an integer number (102720557032161).

Almost surely, 2^{205441114064321} is an apocalyptic number.

It is an amenable number.

205441114064321 is a deficient number, since it is larger than the sum of its proper divisors (1).

205441114064321 is an equidigital number, since it uses as much as digits as its factorization.

205441114064321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 205441114064321 in words is "two hundred five trillion, four hundred forty-one billion, one hundred fourteen million, sixty-four thousand, three hundred twenty-one".