18864144 has 80 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 5802624.

The previous prime is 18864137. The next prime is 18864179. The reversal of 18864144 is 44146881.

18864144 is a `hidden beast` number, since 1 + 8 + 8 + 641 + 4 + 4 = 666.

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 junction number, because it is equal to n+sod(n) for n = 18864099 and 18864108.

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, 3937 + ... + 7295.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^18864144 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 18864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

18864144 is an abundant number, since it is smaller than the sum of its proper divisors (39465456).

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

18864144 is a wasteful number, since it uses less digits than its factorization.

18864144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3377 counting only the distinct ones).

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

The square root of 18864144 is about 4343.2872343422. The cubic root of 18864144 is about 266.2026458135.

The spelling of 18864144 in words is "eighteen million, eight hundred sixty-four thousand, one hundred forty-four".