113330164224 has 80 divisors (see below), whose sum is σ = 303587444160. Its totient is φ = 37567918080.

The previous prime is 113330164163. The next prime is 113330164229. The reversal of 113330164224 is 422461033311.

It is a super-2 number, since 2×113330164224² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113330164191 and 113330164200.

It is not an unprimeable number, because it can be changed into a prime (113330164229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74197 + ... + 481835.

It is an arithmetic number, because the mean of its divisors is an integer number (3794843052).

Almost surely, 2^113330164224 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 113330164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151793722080).

113330164224 is an abundant number, since it is smaller than the sum of its proper divisors (190257279936).

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

113330164224 is an equidigital number, since it uses as much as digits as its factorization.

113330164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407841 (or 407825 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 113330164224 its reverse (422461033311), we get a palindrome (535791197535).

The spelling of 113330164224 in words is "one hundred thirteen billion, three hundred thirty million, one hundred sixty-four thousand, two hundred twenty-four".