114656766001 has 2 divisors, whose sum is σ = 114656766002. Its totient is φ = 114656766000.

The previous prime is 114656765983. The next prime is 114656766019. The reversal of 114656766001 is 100667656411.

It is a balanced prime because it is at equal distance from previous prime (114656765983) and next prime (114656766019).

It can be written as a sum of positive squares in only one way, i.e., 114244676001 + 412090000 = 338001^2 + 20300^2 .

It is a cyclic number.

It is not a de Polignac number, because 114656766001 - 2²⁹ = 114119895089 is a prime.

It is not a weakly prime, because it can be changed into another prime (114656766031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57328383000 + 57328383001.

It is an arithmetic number, because the mean of its divisors is an integer number (57328383001).

Almost surely, 2^114656766001 is an apocalyptic number.

It is an amenable number.

114656766001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114656766001 is an equidigital number, since it uses as much as digits as its factorization.

114656766001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 114656766001 in words is "one hundred fourteen billion, six hundred fifty-six million, seven hundred sixty-six thousand, one".