14718144 has 112 divisors (see below), whose sum is σ = 45646848. Its totient is φ = 4098048.

The previous prime is 14718113. The next prime is 14718163. The reversal of 14718144 is 44181741.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63052 + ... + 63284.

Almost surely, 2^14718144 is an apocalyptic number.

14718144 is a gapful number since it is divisible by the number (14) 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 14718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

14718144 is an abundant number, since it is smaller than the sum of its proper divisors (30928704).

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

14718144 is a wasteful number, since it uses less digits than its factorization.

14718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 14718144 is about 3836.4233343050. The cubic root of 14718144 is about 245.0667262374.

Adding to 14718144 its reverse (44181741), we get a palindrome (58899885).

The spelling of 14718144 in words is "fourteen million, seven hundred eighteen thousand, one hundred forty-four".