14916144 has 80 divisors (see below), whose sum is σ = 41068800. Its totient is φ = 4654848.

The previous prime is 14916137. The next prime is 14916193. The reversal of 14916144 is 44161941.

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, 65022 + ... + 65250.

It is an arithmetic number, because the mean of its divisors is an integer number (513360).

Almost surely, 2^14916144 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 14916144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534400).

14916144 is an abundant number, since it is smaller than the sum of its proper divisors (26152656).

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

14916144 is a wasteful number, since it uses less digits than its factorization.

14916144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 14916144 is about 3862.1424106317. The cubic root of 14916144 is about 246.1607779699.

The spelling of 14916144 in words is "fourteen million, nine hundred sixteen thousand, one hundred forty-four".