14414153251361 has 2 divisors, whose sum is σ = 14414153251362. Its totient is φ = 14414153251360.

The previous prime is 14414153251343. The next prime is 14414153251441. The reversal of 14414153251361 is 16315235141441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11133867195025 + 3280286056336 = 3336745^2 + 1811156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14414153251361 is a prime.

It is a super-3 number, since 3×14414153251361³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (14414153251301) 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, 7207076625680 + 7207076625681.

It is an arithmetic number, because the mean of its divisors is an integer number (7207076625681).

Almost surely, 2^{14414153251361} is an apocalyptic number.

It is an amenable number.

14414153251361 is a deficient number, since it is larger than the sum of its proper divisors (1).

14414153251361 is an equidigital number, since it uses as much as digits as its factorization.

14414153251361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172800, while the sum is 41.

The spelling of 14414153251361 in words is "fourteen trillion, four hundred fourteen billion, one hundred fifty-three million, two hundred fifty-one thousand, three hundred sixty-one".