14307177645289 has 9 divisors (see below), whose sum is σ = 15198350442807. Its totient is φ = 13465518440544.

The previous prime is 14307177645247. The next prime is 14307177645301. The reversal of 14307177645289 is 98254677170341.

The square root of 14307177645289 is 3782483.

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

It can be written as a sum of positive squares in only one way, i.e., 11138806125225 + 3168371520064 = 3337485^2 + 1779992^2 .

It is not a de Polignac number, because 14307177645289 - 2²¹ = 14307175548137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14307177645289.

It is not an unprimeable number, because it can be changed into a prime (14307177645389) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64190962 + ... + 64413460.

It is a 2-persistent number, because it is pandigital, and so is 2⋅14307177645289 = 28614355290578, but 3⋅14307177645289 = 42921532935867 is not.

Almost surely, 2^{14307177645289} is an apocalyptic number.

14307177645289 is the 3782483-rd square number.

14307177645289 is the 1891242-nd centered octagonal number.

It is an amenable number.

14307177645289 is a deficient number, since it is larger than the sum of its proper divisors (891172797518).

14307177645289 is an frugal number, since it uses more digits than its factorization.

14307177645289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445032 (or 222516 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

Multiplying 14307177645289 by its sum of digits (64), we get a square (915659369298496 = 30259864²).

The spelling of 14307177645289 in words is "fourteen trillion, three hundred seven billion, one hundred seventy-seven million, six hundred forty-five thousand, two hundred eighty-nine".