11217563328 has 112 divisors (see below), whose sum is σ = 30355153920. Its totient is φ = 3654835200.

The previous prime is 11217563309. The next prime is 11217563347. The reversal of 11217563328 is 82336571211.

It is a happy number.

11217563328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11217563309) and next prime (11217563347).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2047633 + ... + 2053103.

It is an arithmetic number, because the mean of its divisors is an integer number (271028160).

Almost surely, 2^11217563328 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 11217563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177576960).

11217563328 is an abundant number, since it is smaller than the sum of its proper divisors (19137590592).

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

11217563328 is a wasteful number, since it uses less digits than its factorization.

11217563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5716 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The spelling of 11217563328 in words is "eleven billion, two hundred seventeen million, five hundred sixty-three thousand, three hundred twenty-eight".