126114864961 has 2 divisors, whose sum is σ = 126114864962. Its totient is φ = 126114864960.

The previous prime is 126114864943. The next prime is 126114864979. The reversal of 126114864961 is 169468411621.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (126114864943) and next prime (126114864979).

It can be written as a sum of positive squares in only one way, i.e., 91949039361 + 34165825600 = 303231^2 + 184840^2 .

It is an emirp because it is prime and its reverse (169468411621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126114864961 - 2²⁹ = 125577994049 is a prime.

It is not a weakly prime, because it can be changed into another prime (126114804961) 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, 63057432480 + 63057432481.

It is an arithmetic number, because the mean of its divisors is an integer number (63057432481).

Almost surely, 2^126114864961 is an apocalyptic number.

It is an amenable number.

126114864961 is a deficient number, since it is larger than the sum of its proper divisors (1).

126114864961 is an equidigital number, since it uses as much as digits as its factorization.

126114864961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 497664, while the sum is 49.

The spelling of 126114864961 in words is "one hundred twenty-six billion, one hundred fourteen million, eight hundred sixty-four thousand, nine hundred sixty-one".