14431164 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 4008960.

The previous prime is 14431163. The next prime is 14431171. The reversal of 14431164 is 46113441.

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 (14431163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132342 + ... + 132450.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^14431164 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 14431164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

14431164 is an abundant number, since it is smaller than the sum of its proper divisors (25485636).

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

14431164 is a wasteful number, since it uses less digits than its factorization.

14431164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 14431164 is about 3798.8371905097. The cubic root of 14431164 is about 243.4634586849.

The spelling of 14431164 in words is "fourteen million, four hundred thirty-one thousand, one hundred sixty-four".