14541384 has 128 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 3836160.

The previous prime is 14541379. The next prime is 14541391. The reversal of 14541384 is 48314541.

14541384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14541384³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65097 + ... + 65319.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^14541384 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 14541384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

14541384 is an abundant number, since it is smaller than the sum of its proper divisors (30617016).

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

14541384 is a wasteful number, since it uses less digits than its factorization.

14541384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 14541384 is about 3813.3166666302. The cubic root of 14541384 is about 244.0817158892.

The spelling of 14541384 in words is "fourteen million, five hundred forty-one thousand, three hundred eighty-four".