14865144 has 64 divisors (see below), whose sum is σ = 44716800. Its totient is φ = 4022784.

The previous prime is 14865127. The next prime is 14865173. The reversal of 14865144 is 44156841.

It is a super-2 number, since 2×14865144² = 441945012281472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864 + ... + 5520.

It is an arithmetic number, because the mean of its divisors is an integer number (698700).

Almost surely, 2^14865144 is an apocalyptic number.

14865144 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 14865144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358400).

14865144 is an abundant number, since it is smaller than the sum of its proper divisors (29851656).

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

14865144 is a wasteful number, since it uses less digits than its factorization.

14865144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4688 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 14865144 is about 3855.5342042316. The cubic root of 14865144 is about 245.8799070111.

The spelling of 14865144 in words is "fourteen million, eight hundred sixty-five thousand, one hundred forty-four".