14338368 has 168 divisors, whose sum is σ = 46914816. Its totient is φ = 4147200.

The previous prime is 14338367. The next prime is 14338391. The reversal of 14338368 is 86383341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (14338367) 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, 196380 + ... + 196452.

Almost surely, 2^14338368 is an apocalyptic number.

14338368 is a gapful number since it is divisible by the number (18) 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 14338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457408).

14338368 is an abundant number, since it is smaller than the sum of its proper divisors (32576448).

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

14338368 is a wasteful number, since it uses less digits than its factorization.

14338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 14338368 is about 3786.6037553459. The cubic root of 14338368 is about 242.9404924651.

It can be divided in two parts, 14338 and 368, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 14338368 in words is "fourteen million, three hundred thirty-eight thousand, three hundred sixty-eight".