12846638296991 has 2 divisors, whose sum is σ = 12846638296992. Its totient is φ = 12846638296990.

The previous prime is 12846638296913. The next prime is 12846638297039. The reversal of 12846638296991 is 19969283664821.

It is a strong prime.

It is an emirp because it is prime and its reverse (19969283664821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12846638296991 - 2³⁸ = 12571760390047 is a prime.

It is a super-2 number, since 2×12846638296991² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12846638296291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6423319148495 + 6423319148496.

It is an arithmetic number, because the mean of its divisors is an integer number (6423319148496).

Almost surely, 2^{12846638296991} is an apocalyptic number.

12846638296991 is a deficient number, since it is larger than the sum of its proper divisors (1).

12846638296991 is an equidigital number, since it uses as much as digits as its factorization.

12846638296991 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 483729408, while the sum is 74.

The spelling of 12846638296991 in words is "twelve trillion, eight hundred forty-six billion, six hundred thirty-eight million, two hundred ninety-six thousand, nine hundred ninety-one".