14181312 has 56 divisors (see below), whose sum is σ = 37801296. Its totient is φ = 4691968.

The previous prime is 14181301. The next prime is 14181313. The reversal of 14181312 is 21318141.

It is a happy number.

It is a super-2 number, since 2×14181312² = 402219220082688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14181313) 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, 44578 + ... + 44894.

Almost surely, 2^14181312 is an apocalyptic number.

14181312 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 14181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900648).

14181312 is an abundant number, since it is smaller than the sum of its proper divisors (23619984).

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

14181312 is a wasteful number, since it uses less digits than its factorization.

14181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 14181312 is about 3765.8082797721. The cubic root of 14181312 is about 242.0502138362.

Adding to 14181312 its reverse (21318141), we get a palindrome (35499453).

The spelling of 14181312 in words is "fourteen million, one hundred eighty-one thousand, three hundred twelve".