12838825489673 has 2 divisors, whose sum is σ = 12838825489674. Its totient is φ = 12838825489672.

The previous prime is 12838825489661. The next prime is 12838825489687. The reversal of 12838825489673 is 37698452883821.

It is a happy number.

12838825489673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7409240448064 + 5429585041609 = 2721992^2 + 2330147^2 .

It is a cyclic number.

It is not a de Polignac number, because 12838825489673 - 2¹⁶ = 12838825424137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12838825489673.

It is not a weakly prime, because it can be changed into another prime (12838825489603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6419412744836 + 6419412744837.

It is an arithmetic number, because the mean of its divisors is an integer number (6419412744837).

Almost surely, 2^{12838825489673} is an apocalyptic number.

It is an amenable number.

12838825489673 is a deficient number, since it is larger than the sum of its proper divisors (1).

12838825489673 is an equidigital number, since it uses as much as digits as its factorization.

12838825489673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1114767360, while the sum is 74.

The spelling of 12838825489673 in words is "twelve trillion, eight hundred thirty-eight billion, eight hundred twenty-five million, four hundred eighty-nine thousand, six hundred seventy-three".