11334181822000 has 320 divisors, whose sum is σ = 29137695425280. Its totient is φ = 4255426560000.

The previous prime is 11334181821983. The next prime is 11334181822081. The reversal of 11334181822000 is 22818143311.

11334181822000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524987206 + ... + 525008794.

It is an arithmetic number, because the mean of its divisors is an integer number (91055298204).

Almost surely, 2^{11334181822000} is an apocalyptic number.

11334181822000 is a gapful number since it is divisible by the number (10) 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 11334181822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568847712640).

11334181822000 is an abundant number, since it is smaller than the sum of its proper divisors (17803513603280).

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

11334181822000 is a wasteful number, since it uses less digits than its factorization.

11334181822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21849 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Adding to 11334181822000 its reverse (22818143311), we get a palindrome (11356999965311).

The spelling of 11334181822000 in words is "eleven trillion, three hundred thirty-four billion, one hundred eighty-one million, eight hundred twenty-two thousand".