14506016 has 48 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 6013440.

The previous prime is 14506013. The next prime is 14506027. The reversal of 14506016 is 61060541.

14506016 = 669² + 670² + ... + 699².

It is a junction number, because it is equal to n+sod(n) for n = 14505982 and 14506000.

It is not an unprimeable number, because it can be changed into a prime (14506013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5900 + ... + 7988.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 2^14506016 is an apocalyptic number.

14506016 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 14506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

14506016 is an abundant number, since it is smaller than the sum of its proper divisors (19201504).

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

14506016 is a wasteful number, since it uses less digits than its factorization.

14506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 14506016 is about 3808.6764105132. The cubic root of 14506016 is about 243.8836675583.

Adding to 14506016 its reverse (61060541), we get a palindrome (75566557).

The spelling of 14506016 in words is "fourteen million, five hundred six thousand, sixteen".