14429843264 has 56 divisors (see below), whose sum is σ = 29017097160. Its totient is φ = 7119028224.

The previous prime is 14429843261. The next prime is 14429843291. The reversal of 14429843264 is 46234892441.

It is a happy number.

14429843264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5058054400 + 9371788864 = 71120^2 + 96808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14429843261) 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 7 ways as a sum of consecutive naturals, for example, 1651772 + ... + 1660484.

Almost surely, 2^14429843264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14429843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508548580).

14429843264 is an abundant number, since it is smaller than the sum of its proper divisors (14587253896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14429843264 is a wasteful number, since it uses less digits than its factorization.

14429843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067 (or 9057 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 47.

The spelling of 14429843264 in words is "fourteen billion, four hundred twenty-nine million, eight hundred forty-three thousand, two hundred sixty-four".