11034114320320 has 336 divisors, whose sum is σ = 33309249599808. Its totient is φ = 3406936965120.

The previous prime is 11034114320311. The next prime is 11034114320347. The reversal of 11034114320320 is 2302341143011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15165502 + ... + 15876418.

It is an arithmetic number, because the mean of its divisors is an integer number (99134671428).

Almost surely, 2^{11034114320320} is an apocalyptic number.

11034114320320 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 11034114320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654624799904).

11034114320320 is an abundant number, since it is smaller than the sum of its proper divisors (22275135279488).

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

11034114320320 is a wasteful number, since it uses less digits than its factorization.

11034114320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711008 (or 710985 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 11034114320320 its reverse (2302341143011), we get a palindrome (13336455463331).

The spelling of 11034114320320 in words is "eleven trillion, thirty-four billion, one hundred fourteen million, three hundred twenty thousand, three hundred twenty".