114314034219817 has 2 divisors, whose sum is σ = 114314034219818. Its totient is φ = 114314034219816.

The previous prime is 114314034219809. The next prime is 114314034219901. The reversal of 114314034219817 is 718912430413411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113624961569001 + 689072650816 = 10659501^2 + 830104^2 .

It is a cyclic number.

It is not a de Polignac number, because 114314034219817 - 2³ = 114314034219809 is a prime.

It is not a weakly prime, because it can be changed into another prime (114314034249817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57157017109908 + 57157017109909.

It is an arithmetic number, because the mean of its divisors is an integer number (57157017109909).

Almost surely, 2^{114314034219817} is an apocalyptic number.

It is an amenable number.

114314034219817 is a deficient number, since it is larger than the sum of its proper divisors (1).

114314034219817 is an equidigital number, since it uses as much as digits as its factorization.

114314034219817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 114314034219817 in words is "one hundred fourteen trillion, three hundred fourteen billion, thirty-four million, two hundred nineteen thousand, eight hundred seventeen".