14517799309729 has 81 divisors (see below), whose sum is σ = 15988680680427. Its totient is φ = 13181298818688.

The previous prime is 14517799309721. The next prime is 14517799309733. The reversal of 14517799309729 is 92790399771541.

The square root of 14517799309729 is 3810223.

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

It can be written as a sum of positive squares in 13 ways, for example, as 86158099729 + 14431641210000 = 293527^2 + 3798900^2 .

It is not a de Polignac number, because 14517799309729 - 2³ = 14517799309721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14517799309721) 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 80 ways as a sum of consecutive naturals, for example, 216683571754 + ... + 216683571820.

Almost surely, 2^{14517799309729} is an apocalyptic number.

14517799309729 is the 3810223-rd square number.

14517799309729 is the 1905112-nd centered octagonal number.

It is an amenable number.

14517799309729 is a deficient number, since it is larger than the sum of its proper divisors (1470881370698).

14517799309729 is an frugal number, since it uses more digits than its factorization.

14517799309729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 270050760, while the sum is 73.

The spelling of 14517799309729 in words is "fourteen trillion, five hundred seventeen billion, seven hundred ninety-nine million, three hundred nine thousand, seven hundred twenty-nine".