114577267657 has 2 divisors, whose sum is σ = 114577267658. Its totient is φ = 114577267656.

The previous prime is 114577267589. The next prime is 114577267687. The reversal of 114577267657 is 756762775411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112339599241 + 2237668416 = 335171^2 + 47304^2 .

It is an emirp because it is prime and its reverse (756762775411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114577267657 is a prime.

It is not a weakly prime, because it can be changed into another prime (114577267687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57288633828 + 57288633829.

It is an arithmetic number, because the mean of its divisors is an integer number (57288633829).

Almost surely, 2^114577267657 is an apocalyptic number.

It is an amenable number.

114577267657 is a deficient number, since it is larger than the sum of its proper divisors (1).

114577267657 is an equidigital number, since it uses as much as digits as its factorization.

114577267657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17287200, while the sum is 58.

The spelling of 114577267657 in words is "one hundred fourteen billion, five hundred seventy-seven million, two hundred sixty-seven thousand, six hundred fifty-seven".