114009469362577 has 2 divisors, whose sum is σ = 114009469362578. Its totient is φ = 114009469362576.

The previous prime is 114009469362527. The next prime is 114009469362623. The reversal of 114009469362577 is 775263964900411.

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., 110521991547136 + 3487477815441 = 10512944^2 + 1867479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114009469362577 is a prime.

It is a super-2 number, since 2×114009469362577² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114009469362527) 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, 57004734681288 + 57004734681289.

It is an arithmetic number, because the mean of its divisors is an integer number (57004734681289).

Almost surely, 2^{114009469362577} is an apocalyptic number.

It is an amenable number.

114009469362577 is a deficient number, since it is larger than the sum of its proper divisors (1).

114009469362577 is an equidigital number, since it uses as much as digits as its factorization.

114009469362577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 114009469362577 in words is "one hundred fourteen trillion, nine billion, four hundred sixty-nine million, three hundred sixty-two thousand, five hundred seventy-seven".