14286336 has 80 divisors (see below), whose sum is σ = 38890368. Its totient is φ = 4659200.

The previous prime is 14286317. The next prime is 14286353. The reversal of 14286336 is 63368241.

14286336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14286297 and 14286306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108991 + ... + 109121.

Almost surely, 2^14286336 is an apocalyptic number.

14286336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14286336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445184).

14286336 is an abundant number, since it is smaller than the sum of its proper divisors (24604032).

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

14286336 is an equidigital number, since it uses as much as digits as its factorization.

14286336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 14286336 is about 3779.7269742668. The cubic root of 14286336 is about 242.6462702067.

The spelling of 14286336 in words is "fourteen million, two hundred eighty-six thousand, three hundred thirty-six".