14506368 has 64 divisors (see below), whose sum is σ = 39612720. Its totient is φ = 4700160.

The previous prime is 14506319. The next prime is 14506369. The reversal of 14506368 is 86360541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14506369) by changing a digit.

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, 13698 + ... + 14718.

Almost surely, 2^14506368 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 14506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806360).

14506368 is an abundant number, since it is smaller than the sum of its proper divisors (25106352).

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

14506368 is a wasteful number, since it uses less digits than its factorization.

14506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 14506368 is about 3808.7226205120. The cubic root of 14506368 is about 243.8856402193.

The spelling of 14506368 in words is "fourteen million, five hundred six thousand, three hundred sixty-eight".