11321837568 has 288 divisors, whose sum is σ = 34496280000. Its totient is φ = 3572072448.

The previous prime is 11321837543. The next prime is 11321837587. The reversal of 11321837568 is 86573812311.

It is a happy number.

11321837568 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 1 + 83 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31536973 + ... + 31537331.

It is an arithmetic number, because the mean of its divisors is an integer number (119778750).

Almost surely, 2^11321837568 is an apocalyptic number.

11321837568 is a gapful number since it is divisible by the number (18) 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 11321837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140000).

11321837568 is an abundant number, since it is smaller than the sum of its proper divisors (23174442432).

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

11321837568 is a wasteful number, since it uses less digits than its factorization.

11321837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 452 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 11321837568 in words is "eleven billion, three hundred twenty-one million, eight hundred thirty-seven thousand, five hundred sixty-eight".