114241211132329 has 2 divisors, whose sum is σ = 114241211132330. Its totient is φ = 114241211132328.

The previous prime is 114241211132287. The next prime is 114241211132357. The reversal of 114241211132329 is 923231112142411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112072881256704 + 2168329875625 = 10586448^2 + 1472525^2 .

It is a cyclic number.

It is not a de Polignac number, because 114241211132329 - 2⁷ = 114241211132201 is a prime.

It is not a weakly prime, because it can be changed into another prime (114241211432329) 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, 57120605566164 + 57120605566165.

It is an arithmetic number, because the mean of its divisors is an integer number (57120605566165).

Almost surely, 2^{114241211132329} is an apocalyptic number.

It is an amenable number.

114241211132329 is a deficient number, since it is larger than the sum of its proper divisors (1).

114241211132329 is an equidigital number, since it uses as much as digits as its factorization.

114241211132329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 37.

The spelling of 114241211132329 in words is "one hundred fourteen trillion, two hundred forty-one billion, two hundred eleven million, one hundred thirty-two thousand, three hundred twenty-nine".