12838825119761 has 2 divisors, whose sum is σ = 12838825119762. Its totient is φ = 12838825119760.

The previous prime is 12838825119719. The next prime is 12838825119779. The reversal of 12838825119761 is 16791152883821.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8738787348736 + 4100037771025 = 2956144^2 + 2024855^2 .

It is a cyclic number.

It is not a de Polignac number, because 12838825119761 - 2³⁴ = 12821645250577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12838825119694 and 12838825119703.

It is not a weakly prime, because it can be changed into another prime (12838825169761) 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, 6419412559880 + 6419412559881.

It is an arithmetic number, because the mean of its divisors is an integer number (6419412559881).

Almost surely, 2^{12838825119761} is an apocalyptic number.

It is an amenable number.

12838825119761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12838825119761 is an equidigital number, since it uses as much as digits as its factorization.

12838825119761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11612160, while the sum is 62.

The spelling of 12838825119761 in words is "twelve trillion, eight hundred thirty-eight billion, eight hundred twenty-five million, one hundred nineteen thousand, seven hundred sixty-one".