14806144 has 32 divisors (see below), whose sum is σ = 29755440. Its totient is φ = 7338240.

The previous prime is 14806117. The next prime is 14806157. The reversal of 14806144 is 44160841.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16327 + ... + 17209.

Almost surely, 2^14806144 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 14806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877720).

14806144 is an abundant number, since it is smaller than the sum of its proper divisors (14949296).

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

14806144 is an equidigital number, since it uses as much as digits as its factorization.

14806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14806144 is about 3847.8752578534. The cubic root of 14806144 is about 245.5541752260.

Adding to 14806144 its reverse (44160841), we get a palindrome (58966985).

The spelling of 14806144 in words is "fourteen million, eight hundred six thousand, one hundred forty-four".