14438112 has 96 divisors (see below), whose sum is σ = 42674688. Its totient is φ = 4240896.

The previous prime is 14438111. The next prime is 14438131. The reversal of 14438112 is 21183441.

14438112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (14438111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28453 + ... + 28955.

It is an arithmetic number, because the mean of its divisors is an integer number (444528).

Almost surely, 2^14438112 is an apocalyptic number.

14438112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14438112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344).

14438112 is an abundant number, since it is smaller than the sum of its proper divisors (28236576).

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

14438112 is a wasteful number, since it uses less digits than its factorization.

14438112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 14438112 is about 3799.7515708267. The cubic root of 14438112 is about 243.5025248963.

The spelling of 14438112 in words is "fourteen million, four hundred thirty-eight thousand, one hundred twelve".