2218135822344 has 384 divisors, whose sum is σ = 6933072706560. Its totient is φ = 635318982144.

The previous prime is 2218135822307. The next prime is 2218135822361. The reversal of 2218135822344 is 4432285318122.

2218135822344 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 1 + 3 + 582 + 23 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2218135822344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261969999 + ... + 261978465.

It is an arithmetic number, because the mean of its divisors is an integer number (18054876840).

Almost surely, 2^{2218135822344} is an apocalyptic number.

2218135822344 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 2218135822344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466536353280).

2218135822344 is an abundant number, since it is smaller than the sum of its proper divisors (4714936884216).

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

2218135822344 is a wasteful number, since it uses less digits than its factorization.

2218135822344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8834 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 2218135822344 in words is "two trillion, two hundred eighteen billion, one hundred thirty-five million, eight hundred twenty-two thousand, three hundred forty-four".