14349216 has 96 divisors (see below), whose sum is σ = 43642368. Its totient is φ = 4043520.

The previous prime is 14349211. The next prime is 14349227. The reversal of 14349216 is 61294341.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14349211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87951 + ... + 88113.

It is an arithmetic number, because the mean of its divisors is an integer number (454608).

Almost surely, 2^14349216 is an apocalyptic number.

14349216 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 14349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21821184).

14349216 is an abundant number, since it is smaller than the sum of its proper divisors (29293152).

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

14349216 is a wasteful number, since it uses less digits than its factorization.

14349216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 14349216 is about 3788.0359026810. The cubic root of 14349216 is about 243.0017443015.

The spelling of 14349216 in words is "fourteen million, three hundred forty-nine thousand, two hundred sixteen".