112264112111616 has 504 divisors, whose sum is σ = 337259667706920. Its totient is φ = 37352223277056.

The previous prime is 112264112111587. The next prime is 112264112111771. The reversal of 112264112111616 is 616111211462211.

112264112111616 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 6 + 4 + 1 + 1 + 21 + 11 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (144) and by the product (47775744) of the squares of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 97366965696 + ... + 97366966848.

It is an arithmetic number, because the mean of its divisors is an integer number (669166007355).

Almost surely, 2^{112264112111616} is an apocalyptic number.

112264112111616 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 112264112111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168629833853460).

112264112111616 is an abundant number, since it is smaller than the sum of its proper divisors (224995555595304).

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

112264112111616 is an frugal number, since it uses more digits than its factorization.

112264112111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2177 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

Adding to 112264112111616 its reverse (616111211462211), we get a palindrome (728375323573827).

The spelling of 112264112111616 in words is "one hundred twelve trillion, two hundred sixty-four billion, one hundred twelve million, one hundred eleven thousand, six hundred sixteen".