12726264735673 has 2 divisors, whose sum is σ = 12726264735674. Its totient is φ = 12726264735672.

The previous prime is 12726264735671. The next prime is 12726264735721. The reversal of 12726264735673 is 37653746262721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9678488994729 + 3047775740944 = 3111027^2 + 1745788^2 .

It is a cyclic number.

It is not a de Polignac number, because 12726264735673 - 2¹ = 12726264735671 is a prime.

Together with 12726264735671, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12726264735671) 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, 6363132367836 + 6363132367837.

It is an arithmetic number, because the mean of its divisors is an integer number (6363132367837).

Almost surely, 2^{12726264735673} is an apocalyptic number.

It is an amenable number.

12726264735673 is a deficient number, since it is larger than the sum of its proper divisors (1).

12726264735673 is an equidigital number, since it uses as much as digits as its factorization.

12726264735673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 106686720, while the sum is 61.

The spelling of 12726264735673 in words is "twelve trillion, seven hundred twenty-six billion, two hundred sixty-four million, seven hundred thirty-five thousand, six hundred seventy-three".