112834598688 has 216 divisors, whose sum is σ = 373759036560. Its totient is φ = 32195439360.

The previous prime is 112834598687. The next prime is 112834598719. The reversal of 112834598688 is 886895438211.

112834598688 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 34 + 598 + 6 + 8 + 8 = 666.

112834598688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112834598688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (112834598683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11439903 + ... + 11449761.

It is an arithmetic number, because the mean of its divisors is an integer number (1730365910).

Almost surely, 2^112834598688 is an apocalyptic number.

112834598688 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 112834598688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186879518280).

112834598688 is an abundant number, since it is smaller than the sum of its proper divisors (260924437872).

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

112834598688 is a wasteful number, since it uses less digits than its factorization.

112834598688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 10682 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 112834598688 in words is "one hundred twelve billion, eight hundred thirty-four million, five hundred ninety-eight thousand, six hundred eighty-eight".