113218768 has 40 divisors (see below), whose sum is σ = 238375368. Its totient is φ = 51781632.

The previous prime is 113218757. The next prime is 113218783. The reversal of 113218768 is 867812311.

It can be written as a sum of positive squares in 4 ways, for example, as 14653584 + 98565184 = 3828^2 + 9928^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21096 + ... + 25912.

Almost surely, 2^113218768 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 113218768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119187684).

113218768 is an abundant number, since it is smaller than the sum of its proper divisors (125156600).

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

113218768 is a wasteful number, since it uses less digits than its factorization.

113218768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4945 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 113218768 is about 10640.4308183457. The cubic root of 113218768 is about 483.7706036757.

It can be divided in two parts, 1132 and 18768, that added together give a triangular number (19900 = T₁₉₉).

The spelling of 113218768 in words is "one hundred thirteen million, two hundred eighteen thousand, seven hundred sixty-eight".