14214313132049 has 2 divisors, whose sum is σ = 14214313132050. Its totient is φ = 14214313132048.

The previous prime is 14214313131961. The next prime is 14214313132153. The reversal of 14214313132049 is 94023131341241.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13025111977024 + 1189201155025 = 3609032^2 + 1090505^2 .

It is a cyclic number.

It is not a de Polignac number, because 14214313132049 - 2⁸ = 14214313131793 is a prime.

It is a super-2 number, since 2×14214313132049² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14214313132549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7107156566024 + 7107156566025.

It is an arithmetic number, because the mean of its divisors is an integer number (7107156566025).

Almost surely, 2^{14214313132049} is an apocalyptic number.

It is an amenable number.

14214313132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

14214313132049 is an equidigital number, since it uses as much as digits as its factorization.

14214313132049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 14214313132049 in words is "fourteen trillion, two hundred fourteen billion, three hundred thirteen million, one hundred thirty-two thousand, forty-nine".