18382276224 has 192 divisors, whose sum is σ = 57493636200. Its totient is φ = 5603696640.

The previous prime is 18382276183. The next prime is 18382276277. The reversal of 18382276224 is 42267228381.

18382276224 is a `hidden beast` number, since 1 + 83 + 82 + 276 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18018229824 + 364046400 = 134232^2 + 19080^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18382276224.

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, 1626754 + ... + 1638014.

Almost surely, 2^18382276224 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 18382276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746818100).

18382276224 is an abundant number, since it is smaller than the sum of its proper divisors (39111359976).

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

18382276224 is a wasteful number, since it uses less digits than its factorization.

18382276224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11403 (or 11388 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 18382276224 in words is "eighteen billion, three hundred eighty-two million, two hundred seventy-six thousand, two hundred twenty-four".