11445111216 has 480 divisors, whose sum is σ = 42641715200. Its totient is φ = 2874009600.

The previous prime is 11445111169. The next prime is 11445111241. The reversal of 11445111216 is 61211154411.

It is a happy number.

11445111216 is a `hidden beast` number, since 1 + 1 + 445 + 1 + 1 + 1 + 216 = 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 11445111216.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11342520 + ... + 11343528.

Almost surely, 2^11445111216 is an apocalyptic number.

11445111216 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 11445111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320857600).

11445111216 is an abundant number, since it is smaller than the sum of its proper divisors (31196603984).

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

11445111216 is a wasteful number, since it uses less digits than its factorization.

11445111216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1063 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

Adding to 11445111216 its reverse (61211154411), we get a palindrome (72656265627).

The spelling of 11445111216 in words is "eleven billion, four hundred forty-five million, one hundred eleven thousand, two hundred sixteen".