14085144 has 64 divisors (see below), whose sum is σ = 39804000. Its totient is φ = 4613760.

The previous prime is 14085143. The next prime is 14085151. The reversal of 14085144 is 44158041.

It is a happy number.

14085144 is a `hidden beast` number, since 140 + 8 + 514 + 4 = 666.

14085144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (14085143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12642 + ... + 13710.

Almost surely, 2^14085144 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 14085144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902000).

14085144 is an abundant number, since it is smaller than the sum of its proper divisors (25718856).

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

14085144 is a wasteful number, since it uses less digits than its factorization.

14085144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 14085144 is about 3753.0179855684. The cubic root of 14085144 is about 241.5018324771.

The spelling of 14085144 in words is "fourteen million, eighty-five thousand, one hundred forty-four".