18327216384 has 288 divisors, whose sum is σ = 60412464000. Its totient is φ = 5446434816.

The previous prime is 18327216361. The next prime is 18327216389. The reversal of 18327216384 is 48361272381.

18327216384 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 7 + 2 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×18327216384³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18327216389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228472 + ... + 2236680.

It is an arithmetic number, because the mean of its divisors is an integer number (209765500).

Almost surely, 2^18327216384 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 18327216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30206232000).

18327216384 is an abundant number, since it is smaller than the sum of its proper divisors (42085247616).

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

18327216384 is a wasteful number, since it uses less digits than its factorization.

18327216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8250 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 18327216384 in words is "eighteen billion, three hundred twenty-seven million, two hundred sixteen thousand, three hundred eighty-four".