126664124045761 has 2 divisors, whose sum is σ = 126664124045762. Its totient is φ = 126664124045760.

The previous prime is 126664124045749. The next prime is 126664124045779. The reversal of 126664124045761 is 167540421466621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99430014531600 + 27234109514161 = 9971460^2 + 5218631^2 .

It is a cyclic number.

It is not a de Polignac number, because 126664124045761 - 2¹³ = 126664124037569 is a prime.

It is not a weakly prime, because it can be changed into another prime (126664124045561) 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, 63332062022880 + 63332062022881.

It is an arithmetic number, because the mean of its divisors is an integer number (63332062022881).

Almost surely, 2^{126664124045761} is an apocalyptic number.

It is an amenable number.

126664124045761 is a deficient number, since it is larger than the sum of its proper divisors (1).

126664124045761 is an equidigital number, since it uses as much as digits as its factorization.

126664124045761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 126664124045761 in words is "one hundred twenty-six trillion, six hundred sixty-four billion, one hundred twenty-four million, forty-five thousand, seven hundred sixty-one".