14198688 has 72 divisors (see below), whose sum is σ = 46152288. Its totient is φ = 4056192.

The previous prime is 14198683. The next prime is 14198693. The reversal of 14198688 is 88689141.

It is an interprime number because it is at equal distance from previous prime (14198683) and next prime (14198693).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (14198683) 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 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 5537.

It is an arithmetic number, because the mean of its divisors is an integer number (641004).

Almost surely, 2^14198688 is an apocalyptic number.

14198688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14198688 is an abundant number, since it is smaller than the sum of its proper divisors (31953600).

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

14198688 is a wasteful number, since it uses less digits than its factorization.

14198688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7055 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 14198688 is about 3768.1146479373. The cubic root of 14198688 is about 242.1490328055.

The spelling of 14198688 in words is "fourteen million, one hundred ninety-eight thousand, six hundred eighty-eight".