14385168 has 160 divisors (see below), whose sum is σ = 48568320. Its totient is φ = 3991680.

The previous prime is 14385139. The next prime is 14385169. The reversal of 14385168 is 86158341.

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

It is not an unprimeable number, because it can be changed into a prime (14385169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202573 + ... + 202643.

It is an arithmetic number, because the mean of its divisors is an integer number (303552).

Almost surely, 2^14385168 is an apocalyptic number.

14385168 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 14385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

14385168 is an abundant number, since it is smaller than the sum of its proper divisors (34183152).

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

14385168 is a wasteful number, since it uses less digits than its factorization.

14385168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 14385168 is about 3792.7784011197. The cubic root of 14385168 is about 243.2045222209.

The spelling of 14385168 in words is "fourteen million, three hundred eighty-five thousand, one hundred sixty-eight".