14468688 has 120 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 4343040.

The previous prime is 14468681. The next prime is 14468689. The reversal of 14468688 is 88686441.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14468681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110383 + ... + 110513.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^14468688 is an apocalyptic number.

14468688 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 14468688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

14468688 is an abundant number, since it is smaller than the sum of its proper divisors (30215952).

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

14468688 is a wasteful number, since it uses less digits than its factorization.

14468688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 14468688 is about 3803.7728638813. The cubic root of 14468688 is about 243.6742944380.

The spelling of 14468688 in words is "fourteen million, four hundred sixty-eight thousand, six hundred eighty-eight".