14414688 has 36 divisors (see below), whose sum is σ = 40992588. Its totient is φ = 4804800.

The previous prime is 14414683. The next prime is 14414731. The reversal of 14414688 is 88641441.

It is a tau number, because it is divible by the number of its divisors (36).

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 (14414683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24738 + ... + 25313.

It is an arithmetic number, because the mean of its divisors is an integer number (1138683).

Almost surely, 2^14414688 is an apocalyptic number.

14414688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14414688 is an abundant number, since it is smaller than the sum of its proper divisors (26577900).

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

14414688 is a wasteful number, since it uses less digits than its factorization.

14414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50067 (or 50056 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14414688 is about 3796.6680128766. The cubic root of 14414688 is about 243.3707696619.

The spelling of 14414688 in words is "fourteen million, four hundred fourteen thousand, six hundred eighty-eight".