14358144 has 64 divisors (see below), whose sum is σ = 38556000. Its totient is φ = 4733952.

The previous prime is 14358143. The next prime is 14358163. The reversal of 14358144 is 44185341.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14358143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53242 + ... + 53510.

Almost surely, 2^14358144 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 14358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278000).

14358144 is an abundant number, since it is smaller than the sum of its proper divisors (24197856).

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

14358144 is a wasteful number, since it uses less digits than its factorization.

14358144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 14358144 is about 3789.2141665522. The cubic root of 14358144 is about 243.0521319504.

The spelling of 14358144 in words is "fourteen million, three hundred fifty-eight thousand, one hundred forty-four".