112034482560 has 2560 divisors, whose sum is σ = 573269114880. Its totient is φ = 20065812480.

The previous prime is 112034482541. The next prime is 112034482591. The reversal of 112034482560 is 65284430211.

It is a happy number.

112034482560 is a `hidden beast` number, since 1 + 1 + 20 + 34 + 48 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 882161217 + ... + 882161343.

It is an arithmetic number, because the mean of its divisors is an integer number (223933248).

Almost surely, 2^112034482560 is an apocalyptic number.

112034482560 is a gapful number since it is divisible by the number (10) 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 112034482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286634557440).

112034482560 is an abundant number, since it is smaller than the sum of its proper divisors (461234632320).

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

112034482560 is a wasteful number, since it uses less digits than its factorization.

112034482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 112034482560 in words is "one hundred twelve billion, thirty-four million, four hundred eighty-two thousand, five hundred sixty".