18238221144 has 448 divisors, whose sum is σ = 63460454400. Its totient is φ = 4828896000.

The previous prime is 18238221121. The next prime is 18238221149. The reversal of 18238221144 is 44112283281.

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 = 18238221099 and 18238221108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18238221149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15844969 + ... + 15846119.

It is an arithmetic number, because the mean of its divisors is an integer number (141652800).

Almost surely, 2^18238221144 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 18238221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31730227200).

18238221144 is an abundant number, since it is smaller than the sum of its proper divisors (45222233256).

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

18238221144 is a wasteful number, since it uses less digits than its factorization.

18238221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1199 counting only the distinct ones).

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

The spelling of 18238221144 in words is "eighteen billion, two hundred thirty-eight million, two hundred twenty-one thousand, one hundred forty-four".