14361144 has 64 divisors (see below), whose sum is σ = 41629440. Its totient is φ = 4043520.

The previous prime is 14361101. The next prime is 14361161. The reversal of 14361144 is 44116341.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 11679 + ... + 12849.

It is an arithmetic number, because the mean of its divisors is an integer number (650460).

Almost surely, 2^14361144 is an apocalyptic number.

14361144 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 14361144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814720).

14361144 is an abundant number, since it is smaller than the sum of its proper divisors (27268296).

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

14361144 is a wasteful number, since it uses less digits than its factorization.

14361144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1256 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 14361144 is about 3789.6100063199. The cubic root of 14361144 is about 243.0690585954.

Adding to 14361144 its reverse (44116341), we get a palindrome (58477485).

The spelling of 14361144 in words is "fourteen million, three hundred sixty-one thousand, one hundred forty-four".