14886144 has 216 divisors, whose sum is σ = 53569152. Its totient is φ = 3870720.

The previous prime is 14886121. The next prime is 14886181. The reversal of 14886144 is 44168841.

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

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

It is a cake number, because a cake can be divided into 14886144 parts by 447 planar cuts.

Its product of digits (24576) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14886099 and 14886108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209629 + ... + 209699.

Almost surely, 2^14886144 is an apocalyptic number.

14886144 is a gapful number since it is divisible by the number (14) 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 14886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784576).

14886144 is an abundant number, since it is smaller than the sum of its proper divisors (38683008).

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

14886144 is a wasteful number, since it uses less digits than its factorization.

14886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14886144 is about 3858.2566011088. The cubic root of 14886144 is about 245.9956374400.

The spelling of 14886144 in words is "fourteen million, eight hundred eighty-six thousand, one hundred forty-four".