14379144 has 64 divisors (see below), whose sum is σ = 41005440. Its totient is φ = 4162560.

The previous prime is 14379121. The next prime is 14379179. The reversal of 14379144 is 44197341.

14379144 = T₂₂₇ + T₂₂₈ + ... + T₄₆₀.

It is a nialpdrome in base 8.

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, 3949 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (640710).

Almost surely, 2^14379144 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 14379144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502720).

14379144 is an abundant number, since it is smaller than the sum of its proper divisors (26626296).

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

14379144 is a wasteful number, since it uses less digits than its factorization.

14379144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2746 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 14379144 is about 3791.9841771822. The cubic root of 14379144 is about 243.1705689945.

The spelling of 14379144 in words is "fourteen million, three hundred seventy-nine thousand, one hundred forty-four".