112168646607360 has 1280 divisors, whose sum is σ = 426262757437440. Its totient is φ = 24631742300160.

The previous prime is 112168646607323. The next prime is 112168646607389. The reversal of 112168646607360 is 63706646861211.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 112168646607360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42216275152 + ... + 42216277808.

It is an arithmetic number, because the mean of its divisors is an integer number (333017779248).

Almost surely, 2^{112168646607360} is an apocalyptic number.

112168646607360 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 112168646607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213131378718720).

112168646607360 is an abundant number, since it is smaller than the sum of its proper divisors (314094110830080).

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

112168646607360 is a wasteful number, since it uses less digits than its factorization.

112168646607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 112168646607360 in words is "one hundred twelve trillion, one hundred sixty-eight billion, six hundred forty-six million, six hundred seven thousand, three hundred sixty".