14918112 has 144 divisors (see below), whose sum is σ = 49179312. Its totient is φ = 4239360.

The previous prime is 14918107. The next prime is 14918143. The reversal of 14918112 is 21181941.

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

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

It is a congruent number.

It is an unprimeable number.

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, 53718 + ... + 53994.

It is an arithmetic number, because the mean of its divisors is an integer number (341523).

Almost surely, 2^14918112 is an apocalyptic number.

14918112 is a gapful number since it is divisible by the number (12) 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 14918112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24589656).

14918112 is an abundant number, since it is smaller than the sum of its proper divisors (34261200).

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

14918112 is a wasteful number, since it uses less digits than its factorization.

14918112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 14918112 is about 3862.3971830976. The cubic root of 14918112 is about 246.1716034465.

The spelling of 14918112 in words is "fourteen million, nine hundred eighteen thousand, one hundred twelve".