14738144 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 7006080.

The previous prime is 14738123. The next prime is 14738159. The reversal of 14738144 is 44183741.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14738144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82247 + ... + 82425.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^14738144 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 14738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

14738144 is an abundant number, since it is smaller than the sum of its proper divisors (15743776).

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

14738144 is a wasteful number, since it uses less digits than its factorization.

14738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 14738144 is about 3839.0290439120. The cubic root of 14738144 is about 245.1776803566.

The spelling of 14738144 in words is "fourteen million, seven hundred thirty-eight thousand, one hundred forty-four".