18456144 has 160 divisors (see below), whose sum is σ = 59520000. Its totient is φ = 4910976.

The previous prime is 18456121. The next prime is 18456157. The reversal of 18456144 is 44165481.

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 31 ways as a sum of consecutive naturals, for example, 312787 + ... + 312845.

It is an arithmetic number, because the mean of its divisors is an integer number (372000).

Almost surely, 2^18456144 is an apocalyptic number.

18456144 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 18456144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760000).

18456144 is an abundant number, since it is smaller than the sum of its proper divisors (41063856).

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

18456144 is a wasteful number, since it uses less digits than its factorization.

18456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 18456144 is about 4296.0614520744. The cubic root of 18456144 is about 264.2694677411.

The spelling of 18456144 in words is "eighteen million, four hundred fifty-six thousand, one hundred forty-four".