112142916288 has 420 divisors, whose sum is σ = 378966816360. Its totient is φ = 32684580864.

The previous prime is 112142916253. The next prime is 112142916289. The reversal of 112142916288 is 882619241211.

112142916288 is a `hidden beast` number, since 1 + 1 + 2 + 14 + 2 + 9 + 1 + 628 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112142916289) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16642456 + ... + 16649192.

Almost surely, 2^112142916288 is an apocalyptic number.

112142916288 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 112142916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189483408180).

112142916288 is an abundant number, since it is smaller than the sum of its proper divisors (266823900072).

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

112142916288 is a wasteful number, since it uses less digits than its factorization.

112142916288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 6774 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 112142916288 in words is "one hundred twelve billion, one hundred forty-two million, nine hundred sixteen thousand, two hundred eighty-eight".