114766205441 has 2 divisors, whose sum is σ = 114766205442. Its totient is φ = 114766205440.

The previous prime is 114766205417. The next prime is 114766205447. The reversal of 114766205441 is 144502667411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104024955841 + 10741249600 = 322529^2 + 103640^2 .

It is an emirp because it is prime and its reverse (144502667411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114766205441 - 2³⁰ = 113692463617 is a prime.

It is a super-2 number, since 2×114766205441² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114766205447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57383102720 + 57383102721.

It is an arithmetic number, because the mean of its divisors is an integer number (57383102721).

Almost surely, 2^114766205441 is an apocalyptic number.

It is an amenable number.

114766205441 is a deficient number, since it is larger than the sum of its proper divisors (1).

114766205441 is an equidigital number, since it uses as much as digits as its factorization.

114766205441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 114766205441 in words is "one hundred fourteen billion, seven hundred sixty-six million, two hundred five thousand, four hundred forty-one".