14868144 has 80 divisors (see below), whose sum is σ = 43171840. Its totient is φ = 4898880.

The previous prime is 14868101. The next prime is 14868151. The reversal of 14868144 is 44186841.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 14868099 and 14868108.

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, 54729 + ... + 54999.

It is an arithmetic number, because the mean of its divisors is an integer number (539648).

Almost surely, 2^14868144 is an apocalyptic number.

14868144 is the 2439-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14868144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21585920).

14868144 is an abundant number, since it is smaller than the sum of its proper divisors (28303696).

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

14868144 is a wasteful number, since it uses less digits than its factorization.

14868144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14868144 is about 3855.9232357504. The cubic root of 14868144 is about 245.8964465999.

The spelling of 14868144 in words is "fourteen million, eight hundred sixty-eight thousand, one hundred forty-four".