14338416 has 80 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 4565760.

The previous prime is 14338411. The next prime is 14338417. The reversal of 14338416 is 61483341.

14338416 is digitally balanced in base 2 and base 4, because in such bases 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14338411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172711 + ... + 172793.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^14338416 is an apocalyptic number.

14338416 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 14338416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

14338416 is an abundant number, since it is smaller than the sum of its proper divisors (24409104).

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

14338416 is a wasteful number, since it uses less digits than its factorization.

14338416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 14338416 is about 3786.6100934741. The cubic root of 14338416 is about 242.9407635590.

The spelling of 14338416 in words is "fourteen million, three hundred thirty-eight thousand, four hundred sixteen".