14112384 has 128 divisors (see below), whose sum is σ = 44210880. Its totient is φ = 3932160.

The previous prime is 14112379. The next prime is 14112391. The reversal of 14112384 is 48321141.

It is a tau number, because it is divible by the number of its divisors (128).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54784 + ... + 55040.

Almost surely, 2^14112384 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 14112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105440).

14112384 is an abundant number, since it is smaller than the sum of its proper divisors (30098496).

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

14112384 is a wasteful number, since it uses less digits than its factorization.

14112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

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

The square root of 14112384 is about 3756.6453119772. The cubic root of 14112384 is about 241.6574165835.

The spelling of 14112384 in words is "fourteen million, one hundred twelve thousand, three hundred eighty-four".