14870144 has 32 divisors (see below), whose sum is σ = 30918240. Its totient is φ = 7110400.

The previous prime is 14870143. The next prime is 14870147. The reversal of 14870144 is 44107841.

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

It is a super-2 number, since 2×14870144² = 442242365161472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14870143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (966195).

Almost surely, 2^14870144 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 14870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459120).

14870144 is an abundant number, since it is smaller than the sum of its proper divisors (16048096).

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

14870144 is an equidigital number, since it uses as much as digits as its factorization.

14870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 14870144 is about 3856.1825682921. The cubic root of 14870144 is about 245.9074717564.

Adding to 14870144 its reverse (44107841), we get a palindrome (58977985).

The spelling of 14870144 in words is "fourteen million, eight hundred seventy thousand, one hundred forty-four".