14838144 has 64 divisors (see below), whose sum is σ = 41750640. Its totient is φ = 4653056.

The previous prime is 14838137. The next prime is 14838149. The reversal of 14838144 is 44183841.

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

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 (14838149) 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, 5392 + ... + 7664.

Almost surely, 2^14838144 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 14838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20875320).

14838144 is an abundant number, since it is smaller than the sum of its proper divisors (26912496).

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

14838144 is a wasteful number, since it uses less digits than its factorization.

14838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2295 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 14838144 is about 3852.0311525220. The cubic root of 14838144 is about 245.7309504781.

The spelling of 14838144 in words is "fourteen million, eight hundred thirty-eight thousand, one hundred forty-four".