11205633216 has 112 divisors (see below), whose sum is σ = 30334086144. Its totient is φ = 3649099776.

The previous prime is 11205633161. The next prime is 11205633247. The reversal of 11205633216 is 61233650211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8599221 + ... + 8600523.

Almost surely, 2^11205633216 is an apocalyptic number.

11205633216 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 11205633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167043072).

11205633216 is an abundant number, since it is smaller than the sum of its proper divisors (19128452928).

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

11205633216 is a wasteful number, since it uses less digits than its factorization.

11205633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 11205633216 in words is "eleven billion, two hundred five million, six hundred thirty-three thousand, two hundred sixteen".