114553132049 has 2 divisors, whose sum is σ = 114553132050. Its totient is φ = 114553132048.

The previous prime is 114553131977. The next prime is 114553132073. The reversal of 114553132049 is 940231355411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113884651024 + 668481025 = 337468^2 + 25855^2 .

It is a cyclic number.

It is not a de Polignac number, because 114553132049 - 2¹⁶ = 114553066513 is a prime.

It is not a weakly prime, because it can be changed into another prime (114553132649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57276566024 + 57276566025.

It is an arithmetic number, because the mean of its divisors is an integer number (57276566025).

Almost surely, 2^114553132049 is an apocalyptic number.

It is an amenable number.

114553132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

114553132049 is an equidigital number, since it uses as much as digits as its factorization.

114553132049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 114553132049 in words is "one hundred fourteen billion, five hundred fifty-three million, one hundred thirty-two thousand, forty-nine".