112705814805048 has 160 divisors (see below), whose sum is σ = 315943060118400. Its totient is φ = 37537384433472.

The previous prime is 112705814804993. The next prime is 112705814805061. The reversal of 112705814805048 is 840508418507211.

112705814805048 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 0 + 58 + 1 + 4 + 80 + 504 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112705814804985 and 112705814805003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10024526515 + ... + 10024537757.

It is an arithmetic number, because the mean of its divisors is an integer number (1974644125740).

Almost surely, 2^{112705814805048} is an apocalyptic number.

112705814805048 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 112705814805048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157971530059200).

112705814805048 is an abundant number, since it is smaller than the sum of its proper divisors (203237245313352).

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

112705814805048 is a wasteful number, since it uses less digits than its factorization.

112705814805048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 112705814805048 in words is "one hundred twelve trillion, seven hundred five billion, eight hundred fourteen million, eight hundred five thousand, forty-eight".