11334220234304 has 336 divisors, whose sum is σ = 26643323416320. Its totient is φ = 4741738659840.

The previous prime is 11334220234303. The next prime is 11334220234331. The reversal of 11334220234304 is 40343202243311.

11334220234304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11334220234303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3633926057 + ... + 3633929175.

Almost surely, 2^{11334220234304} 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 11334220234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321661708160).

11334220234304 is an abundant number, since it is smaller than the sum of its proper divisors (15309103182016).

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

11334220234304 is a wasteful number, since it uses less digits than its factorization.

11334220234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 11334220234304 its reverse (40343202243311), we get a palindrome (51677422477615).

The spelling of 11334220234304 in words is "eleven trillion, three hundred thirty-four billion, two hundred twenty million, two hundred thirty-four thousand, three hundred four".