14149216 has 48 divisors (see below), whose sum is σ = 29332800. Its totient is φ = 6709248.

The previous prime is 14149199. The next prime is 14149217. The reversal of 14149216 is 61294141.

It is a super-3 number, since 3×14149216³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14149217) 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 7 ways as a sum of consecutive naturals, for example, 73216 + ... + 73408.

It is an arithmetic number, because the mean of its divisors is an integer number (611100).

Almost surely, 2^14149216 is an apocalyptic number.

14149216 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 14149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666400).

14149216 is an abundant number, since it is smaller than the sum of its proper divisors (15183584).

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

14149216 is a wasteful number, since it uses less digits than its factorization.

14149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 14149216 is about 3761.5443636889. The cubic root of 14149216 is about 241.8674683560.

It can be divided in two parts, 14149 and 216, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 14149216 in words is "fourteen million, one hundred forty-nine thousand, two hundred sixteen".