11132640216 has 128 divisors (see below), whose sum is σ = 31814208000. Its totient is φ = 3604404096.

The previous prime is 11132640199. The next prime is 11132640217. The reversal of 11132640216 is 61204623111.

It is a happy number.

11132640216 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 640 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11132640216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132640217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8143165 + ... + 8144531.

It is an arithmetic number, because the mean of its divisors is an integer number (248548500).

Almost surely, 2^11132640216 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 11132640216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907104000).

11132640216 is an abundant number, since it is smaller than the sum of its proper divisors (20681567784).

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

11132640216 is a wasteful number, since it uses less digits than its factorization.

11132640216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11132640216 in words is "eleven billion, one hundred thirty-two million, six hundred forty thousand, two hundred sixteen".