112005670176 has 144 divisors (see below), whose sum is σ = 320384937600. Its totient is φ = 37116817920.

The previous prime is 112005670159. The next prime is 112005670193. The reversal of 112005670176 is 671076500211.

112005670176 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 567 + 0 + 1 + 76 = 666.

112005670176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112005670159) and next prime (112005670193).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112005670176.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43939750 + ... + 43942298.

It is an arithmetic number, because the mean of its divisors is an integer number (2224895400).

Almost surely, 2^112005670176 is an apocalyptic number.

112005670176 is a gapful number since it is divisible by the number (16) 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 112005670176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160192468800).

112005670176 is an abundant number, since it is smaller than the sum of its proper divisors (208379267424).

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

112005670176 is a wasteful number, since it uses less digits than its factorization.

112005670176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 112005670176 in words is "one hundred twelve billion, five million, six hundred seventy thousand, one hundred seventy-six".