14434800289 has 96 divisors (see below), whose sum is σ = 19938508800. Its totient is φ = 10317041280.

The previous prime is 14434800239. The next prime is 14434800293. The reversal of 14434800289 is 98200843441.

It is not a de Polignac number, because 14434800289 - 2¹⁵ = 14434767521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14434800239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29640004 + ... + 29640490.

It is an arithmetic number, because the mean of its divisors is an integer number (207692800).

Almost surely, 2^14434800289 is an apocalyptic number.

14434800289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

14434800289 is a deficient number, since it is larger than the sum of its proper divisors (5503708511).

14434800289 is a wasteful number, since it uses less digits than its factorization.

14434800289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 14434800289 in words is "fourteen billion, four hundred thirty-four million, eight hundred thousand, two hundred eighty-nine".