112020618528 has 864 divisors, whose sum is σ = 418002569712. Its totient is φ = 28178841600.

The previous prime is 112020618503. The next prime is 112020618529. The reversal of 112020618528 is 825816020211.

112020618528 is a `hidden beast` number, since 1 + 12 + 0 + 2 + 0 + 618 + 5 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26913058704 + 85107559824 = 164052^2 + 291732^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 112020618492 and 112020618501.

It is not an unprimeable number, because it can be changed into a prime (112020618529) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398649748 + ... + 398650028.

Almost surely, 2^112020618528 is an apocalyptic number.

112020618528 is a gapful number since it is divisible by the number (18) 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 112020618528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209001284856).

112020618528 is an abundant number, since it is smaller than the sum of its proper divisors (305981951184).

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

112020618528 is a wasteful number, since it uses less digits than its factorization.

112020618528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 112020618528 its reverse (825816020211), we get a palindrome (937836638739).

The spelling of 112020618528 in words is "one hundred twelve billion, twenty million, six hundred eighteen thousand, five hundred twenty-eight".