14429535129 has 27 divisors (see below), whose sum is σ = 21657807093. Its totient is φ = 9613203444.

The previous prime is 14429535103. The next prime is 14429535151. The reversal of 14429535129 is 92153592441.

It is a happy number.

The square root of 14429535129 is 120123.

It is a perfect power (a square), and thus also a powerful number.

14429535129 is a `hidden beast` number, since 1 + 4 + 4 + 295 + 351 + 2 + 9 = 666.

14429535129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 14429535129 - 2¹⁵ = 14429502361 is a prime.

It is a super-2 number, since 2×14429535129² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14429535529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9729222 + ... + 9730704.

Almost surely, 2^14429535129 is an apocalyptic number.

14429535129 is the 120123-rd square number.

14429535129 is the 60062-nd centered octagonal number.

It is an amenable number.

14429535129 is a deficient number, since it is larger than the sum of its proper divisors (7228271964).

14429535129 is an frugal number, since it uses more digits than its factorization.

14429535129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1486 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 14429535129 in words is "fourteen billion, four hundred twenty-nine million, five hundred thirty-five thousand, one hundred twenty-nine".