11225817216 has 320 divisors, whose sum is σ = 35189510400. Its totient is φ = 3547514880.

The previous prime is 11225817203. The next prime is 11225817227. The reversal of 11225817216 is 61271852211.

It is a happy number.

11225817216 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 581 + 72 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17034295 + ... + 17034953.

It is an arithmetic number, because the mean of its divisors is an integer number (109967220).

Almost surely, 2^11225817216 is an apocalyptic number.

11225817216 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 11225817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594755200).

11225817216 is an abundant number, since it is smaller than the sum of its proper divisors (23963693184).

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

11225817216 is an equidigital number, since it uses as much as digits as its factorization.

11225817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 748 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The spelling of 11225817216 in words is "eleven billion, two hundred twenty-five million, eight hundred seventeen thousand, two hundred sixteen".