112117893888 has 1152 divisors, whose sum is σ = 427234590720. Its totient is φ = 25164840960.

The previous prime is 112117893887. The next prime is 112117893889. The reversal of 112117893888 is 888398711211.

It is an interprime number because it is at equal distance from previous prime (112117893887) and next prime (112117893889).

It is not an unprimeable number, because it can be changed into a prime (112117893887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1047830731 + ... + 1047830837.

It is an arithmetic number, because the mean of its divisors is an integer number (370863360).

Almost surely, 2^112117893888 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 112117893888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213617295360).

112117893888 is an abundant number, since it is smaller than the sum of its proper divisors (315116696832).

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

112117893888 is a wasteful number, since it uses less digits than its factorization.

112117893888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 57.

The spelling of 112117893888 in words is "one hundred twelve billion, one hundred seventeen million, eight hundred ninety-three thousand, eight hundred eighty-eight".