14016384 has 96 divisors (see below), whose sum is σ = 42166800. Its totient is φ = 4468992.

The previous prime is 14016349. The next prime is 14016413. The reversal of 14016384 is 48361041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×14016384³ (a number of 22 digits) contains 333 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 11 ways as a sum of consecutive naturals, for example, 609397 + ... + 609419.

Almost surely, 2^14016384 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 14016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21083400).

14016384 is an abundant number, since it is smaller than the sum of its proper divisors (28150416).

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

14016384 is an frugal number, since it uses more digits than its factorization.

14016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14016384 is about 3743.8461506851. The cubic root of 14016384 is about 241.1082082672.

It can be divided in two parts, 14016 and 384, that added together give a square (14400 = 120²).

The spelling of 14016384 in words is "fourteen million, sixteen thousand, three hundred eighty-four".