19736026456129 has 2 divisors, whose sum is σ = 19736026456130. Its totient is φ = 19736026456128.

The previous prime is 19736026456117. The next prime is 19736026456271. The reversal of 19736026456129 is 92165462063791.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15247463040000 + 4488563416129 = 3904800^2 + 2118623^2 .

It is a cyclic number.

It is not a de Polignac number, because 19736026456129 - 2⁹ = 19736026455617 is a prime.

It is not a weakly prime, because it can be changed into another prime (19736026456429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9868013228064 + 9868013228065.

It is an arithmetic number, because the mean of its divisors is an integer number (9868013228065).

Almost surely, 2^{19736026456129} is an apocalyptic number.

It is an amenable number.

19736026456129 is a deficient number, since it is larger than the sum of its proper divisors (1).

19736026456129 is an equidigital number, since it uses as much as digits as its factorization.

19736026456129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 19736026456129 in words is "nineteen trillion, seven hundred thirty-six billion, twenty-six million, four hundred fifty-six thousand, one hundred twenty-nine".