14429664 has 120 divisors (see below), whose sum is σ = 44823240. Its totient is φ = 4541184.

The previous prime is 14429647. The next prime is 14429669. The reversal of 14429664 is 46692441.

14429664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14429669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49102 + ... + 49394.

It is an arithmetic number, because the mean of its divisors is an integer number (373527).

Almost surely, 2^14429664 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 14429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411620).

14429664 is an abundant number, since it is smaller than the sum of its proper divisors (30393576).

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

14429664 is a wasteful number, since it uses less digits than its factorization.

14429664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 14429664 is about 3798.6397565444. The cubic root of 14429664 is about 243.4550230558.

The spelling of 14429664 in words is "fourteen million, four hundred twenty-nine thousand, six hundred sixty-four".