12992824441057 has 2 divisors, whose sum is σ = 12992824441058. Its totient is φ = 12992824441056.

The previous prime is 12992824441021. The next prime is 12992824441111. The reversal of 12992824441057 is 75014442829921.

It is a happy number.

12992824441057 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., 12621826503841 + 370997937216 = 3552721^2 + 609096^2 .

It is a cyclic number.

It is not a de Polignac number, because 12992824441057 - 2²³ = 12992816052449 is a prime.

It is a super-2 number, since 2×12992824441057² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12992824440992 and 12992824441010.

It is not a weakly prime, because it can be changed into another prime (12992824441007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6496412220528 + 6496412220529.

It is an arithmetic number, because the mean of its divisors is an integer number (6496412220529).

Almost surely, 2^{12992824441057} is an apocalyptic number.

It is an amenable number.

12992824441057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12992824441057 is an equidigital number, since it uses as much as digits as its factorization.

12992824441057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 12992824441057 in words is "twelve trillion, nine hundred ninety-two billion, eight hundred twenty-four million, four hundred forty-one thousand, fifty-seven".