112186095840 has 1728 divisors, whose sum is σ = 520444491840. Its totient is φ = 21737963520.

The previous prime is 112186095779. The next prime is 112186095851. The reversal of 112186095840 is 48590681211.

It is a happy number.

112186095840 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 8 + 60 + 9 + 584 + 0 = 666.

It is a super-3 number, since 3×112186095840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 714561042 + ... + 714561198.

It is an arithmetic number, because the mean of its divisors is an integer number (301183155).

Almost surely, 2^112186095840 is an apocalyptic number.

112186095840 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 112186095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260222245920).

112186095840 is an abundant number, since it is smaller than the sum of its proper divisors (408258396000).

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

112186095840 is a wasteful number, since it uses less digits than its factorization.

112186095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 112186095840 in words is "one hundred twelve billion, one hundred eighty-six million, ninety-five thousand, eight hundred forty".