14004123413129 has 2 divisors, whose sum is σ = 14004123413130. Its totient is φ = 14004123413128.

The previous prime is 14004123413123. The next prime is 14004123413219. The reversal of 14004123413129 is 92131432140041.

14004123413129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (14004123413219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13219419765904 + 784703647225 = 3635852^2 + 885835^2 .

It is a cyclic number.

It is not a de Polignac number, because 14004123413129 - 2¹⁶ = 14004123347593 is a prime.

It is a super-2 number, since 2×14004123413129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14004123413123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7002061706564 + 7002061706565.

It is an arithmetic number, because the mean of its divisors is an integer number (7002061706565).

Almost surely, 2^{14004123413129} is an apocalyptic number.

It is an amenable number.

14004123413129 is a deficient number, since it is larger than the sum of its proper divisors (1).

14004123413129 is an equidigital number, since it uses as much as digits as its factorization.

14004123413129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 14004123413129 in words is "fourteen trillion, four billion, one hundred twenty-three million, four hundred thirteen thousand, one hundred twenty-nine".