14418144 has 72 divisors (see below), whose sum is σ = 44167032. Its totient is φ = 4435200.

The previous prime is 14418139. The next prime is 14418149. The reversal of 14418144 is 44181441.

It is an interprime number because it is at equal distance from previous prime (14418139) and next prime (14418149).

It is a tau number, because it is divible by the number of its divisors (72).

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 (14418149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1819 + ... + 5669.

It is an arithmetic number, because the mean of its divisors is an integer number (613431).

Almost surely, 2^14418144 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 14418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083516).

14418144 is an abundant number, since it is smaller than the sum of its proper divisors (29748888).

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

14418144 is a wasteful number, since it uses less digits than its factorization.

14418144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3869 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 14418144 is about 3797.1231215224. The cubic root of 14418144 is about 243.3902179305.

Adding to 14418144 its reverse (44181441), we get a palindrome (58599585).

The spelling of 14418144 in words is "fourteen million, four hundred eighteen thousand, one hundred forty-four".