11066884416 has 336 divisors, whose sum is σ = 39160094400. Its totient is φ = 3052256256.

The previous prime is 11066884403. The next prime is 11066884427. The reversal of 11066884416 is 61448866011.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11066884416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2453235 + ... + 2457741.

It is an arithmetic number, because the mean of its divisors is an integer number (116547900).

Almost surely, 2^11066884416 is an apocalyptic number.

11066884416 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 11066884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580047200).

11066884416 is an abundant number, since it is smaller than the sum of its proper divisors (28093209984).

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

11066884416 is a wasteful number, since it uses less digits than its factorization.

11066884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11066884416 in words is "eleven billion, sixty-six million, eight hundred eighty-four thousand, four hundred sixteen".