11217446016 has 256 divisors, whose sum is σ = 34809384960. Its totient is φ = 3134693376.

The previous prime is 11217446011. The next prime is 11217446021. The reversal of 11217446016 is 61064471211.

It is an interprime number because it is at equal distance from previous prime (11217446011) and next prime (11217446021).

It is not an unprimeable number, because it can be changed into a prime (11217446011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30565065 + ... + 30565431.

It is an arithmetic number, because the mean of its divisors is an integer number (135974160).

Almost surely, 2^11217446016 is an apocalyptic number.

11217446016 is a gapful number since it is divisible by the number (16) 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 11217446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404692480).

11217446016 is an abundant number, since it is smaller than the sum of its proper divisors (23591938944).

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

11217446016 is a wasteful number, since it uses less digits than its factorization.

11217446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11217446016 in words is "eleven billion, two hundred seventeen million, four hundred forty-six thousand, sixteen".