14182168 has 144 divisors (see below), whose sum is σ = 38208240. Its totient is φ = 4878720.

The previous prime is 14182121. The next prime is 14182169. The reversal of 14182168 is 86128141.

It is a super-2 number, since 2×14182168² = 402267778360448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14182169) 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 35 ways as a sum of consecutive naturals, for example, 616605 + ... + 616627.

It is an arithmetic number, because the mean of its divisors is an integer number (265335).

Almost surely, 2^14182168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14182168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104120).

14182168 is an abundant number, since it is smaller than the sum of its proper divisors (24026072).

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

14182168 is a wasteful number, since it uses less digits than its factorization.

14182168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 14182168 is about 3765.9219322763. The cubic root of 14182168 is about 242.0550838796.

The spelling of 14182168 in words is "fourteen million, one hundred eighty-two thousand, one hundred sixty-eight".