112072667168 has 384 divisors, whose sum is σ = 292161945600. Its totient is φ = 41057280000.

The previous prime is 112072667153. The next prime is 112072667173. The reversal of 112072667168 is 861766270211.

It is a super-2 number, since 2×112072667168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563179133 + ... + 563179331.

It is an arithmetic number, because the mean of its divisors is an integer number (760838400).

Almost surely, 2^112072667168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112072667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146080972800).

112072667168 is an abundant number, since it is smaller than the sum of its proper divisors (180089278432).

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

112072667168 is a wasteful number, since it uses less digits than its factorization.

112072667168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 112072667168 in words is "one hundred twelve billion, seventy-two million, six hundred sixty-seven thousand, one hundred sixty-eight".