14115168 has 144 divisors (see below), whose sum is σ = 45042480. Its totient is φ = 4285440.

The previous prime is 14115163. The next prime is 14115203. The reversal of 14115168 is 86151141.

14115168 is a `hidden beast` number, since 141 + 1 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115163) 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, 455313 + ... + 455343.

It is an arithmetic number, because the mean of its divisors is an integer number (312795).

Almost surely, 2^14115168 is an apocalyptic number.

14115168 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 14115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521240).

14115168 is an abundant number, since it is smaller than the sum of its proper divisors (30927312).

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

14115168 is a wasteful number, since it uses less digits than its factorization.

14115168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 14115168 is about 3757.0158370707. The cubic root of 14115168 is about 241.6733064103.

The spelling of 14115168 in words is "fourteen million, one hundred fifteen thousand, one hundred sixty-eight".