14127188964961 has 2 divisors, whose sum is σ = 14127188964962. Its totient is φ = 14127188964960.

The previous prime is 14127188964919. The next prime is 14127188964971. The reversal of 14127188964961 is 16946988172141.

14127188964961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13623805809936 + 503383155025 = 3691044^2 + 709495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14127188964961 is a prime.

It is not a weakly prime, because it can be changed into another prime (14127188964971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7063594482480 + 7063594482481.

It is an arithmetic number, because the mean of its divisors is an integer number (7063594482481).

Almost surely, 2^{14127188964961} is an apocalyptic number.

It is an amenable number.

14127188964961 is a deficient number, since it is larger than the sum of its proper divisors (1).

14127188964961 is an equidigital number, since it uses as much as digits as its factorization.

14127188964961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41803776, while the sum is 67.

The spelling of 14127188964961 in words is "fourteen trillion, one hundred twenty-seven billion, one hundred eighty-eight million, nine hundred sixty-four thousand, nine hundred sixty-one".