14438688 has 96 divisors (see below), whose sum is σ = 42057792. Its totient is φ = 4336640.

The previous prime is 14438681. The next prime is 14438713. The reversal of 14438688 is 88683441.

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

It is a super-2 number, since 2×14438688² = 416951422322688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14438681) 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, 127720 + ... + 127832.

It is an arithmetic number, because the mean of its divisors is an integer number (438102).

Almost surely, 2^14438688 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 14438688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028896).

14438688 is an abundant number, since it is smaller than the sum of its proper divisors (27619104).

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

14438688 is a wasteful number, since it uses less digits than its factorization.

14438688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 14438688 is about 3799.8273644996. The cubic root of 14438688 is about 243.5057629833.

The spelling of 14438688 in words is "fourteen million, four hundred thirty-eight thousand, six hundred eighty-eight".