2118283824384 has 1728 divisors, whose sum is σ = 8228221747200. Its totient is φ = 508668346368.

The previous prime is 2118283824373. The next prime is 2118283824389. The reversal of 2118283824384 is 4834283828112.

It is a happy number.

2118283824384 is a `hidden beast` number, since 2 + 1 + 182 + 8 + 3 + 82 + 4 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2118283824384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118283824389) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16679400129 + ... + 16679400255.

It is an arithmetic number, because the mean of its divisors is an integer number (4761702400).

Almost surely, 2^{2118283824384} is an apocalyptic number.

2118283824384 is a gapful number since it is divisible by the number (24) 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 2118283824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114110873600).

2118283824384 is an abundant number, since it is smaller than the sum of its proper divisors (6109937922816).

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

2118283824384 is a wasteful number, since it uses less digits than its factorization.

2118283824384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 2118283824384 in words is "two trillion, one hundred eighteen billion, two hundred eighty-three million, eight hundred twenty-four thousand, three hundred eighty-four".