14853216 has 144 divisors (see below), whose sum is σ = 48045312. Its totient is φ = 3928320.

The previous prime is 14853211. The next prime is 14853217. The reversal of 14853216 is 61235841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14853211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479121 + ... + 479151.

It is an arithmetic number, because the mean of its divisors is an integer number (333648).

Almost surely, 2^14853216 is an apocalyptic number.

14853216 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 14853216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022656).

14853216 is an abundant number, since it is smaller than the sum of its proper divisors (33192096).

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

14853216 is a wasteful number, since it uses less digits than its factorization.

14853216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 14853216 is about 3853.9870264442. The cubic root of 14853216 is about 245.8141235843.

The spelling of 14853216 in words is "fourteen million, eight hundred fifty-three thousand, two hundred sixteen".