14874144 has 48 divisors (see below), whose sum is σ = 40007520. Its totient is φ = 4835840.

The previous prime is 14874109. The next prime is 14874151. The reversal of 14874144 is 44147841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×14874144³ (a number of 22 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2047 + ... + 5825.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^14874144 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 14874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003760).

14874144 is an abundant number, since it is smaller than the sum of its proper divisors (25133376).

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

14874144 is a wasteful number, since it uses less digits than its factorization.

14874144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3825 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 14874144 is about 3856.7011810613. The cubic root of 14874144 is about 245.9295191040.

It can be divided in two parts, 148741 and 44, that added together give a triangular number (148785 = T₅₄₅).

The spelling of 14874144 in words is "fourteen million, eight hundred seventy-four thousand, one hundred forty-four".