114004131234349 has 2 divisors, whose sum is σ = 114004131234350. Its totient is φ = 114004131234348.

The previous prime is 114004131234317. The next prime is 114004131234379. The reversal of 114004131234349 is 943432131400411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97038851688900 + 16965279545449 = 9850830^2 + 4118893^2 .

It is a cyclic number.

It is not a de Polignac number, because 114004131234349 - 2⁵ = 114004131234317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114004131234379) 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, 57002065617174 + 57002065617175.

It is an arithmetic number, because the mean of its divisors is an integer number (57002065617175).

Almost surely, 2^{114004131234349} is an apocalyptic number.

It is an amenable number.

114004131234349 is a deficient number, since it is larger than the sum of its proper divisors (1).

114004131234349 is an equidigital number, since it uses as much as digits as its factorization.

114004131234349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 114004131234349 in words is "one hundred fourteen trillion, four billion, one hundred thirty-one million, two hundred thirty-four thousand, three hundred forty-nine".