12382096413857 has 2 divisors, whose sum is σ = 12382096413858. Its totient is φ = 12382096413856.

The previous prime is 12382096413851. The next prime is 12382096413859. The reversal of 12382096413857 is 75831469028321.

12382096413857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10473708888721 + 1908387525136 = 3236311^2 + 1381444^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12382096413857 is a prime.

Together with 12382096413859, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12382096413796 and 12382096413805.

It is not a weakly prime, because it can be changed into another prime (12382096413851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6191048206928 + 6191048206929.

It is an arithmetic number, because the mean of its divisors is an integer number (6191048206929).

It is a 1-persistent number, because it is pandigital, but 2⋅12382096413857 = 24764192827714 is not.

Almost surely, 2^{12382096413857} is an apocalyptic number.

It is an amenable number.

12382096413857 is a deficient number, since it is larger than the sum of its proper divisors (1).

12382096413857 is an equidigital number, since it uses as much as digits as its factorization.

12382096413857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 12382096413857 in words is "twelve trillion, three hundred eighty-two billion, ninety-six million, four hundred thirteen thousand, eight hundred fifty-seven".