112241175948288 has 528 divisors, whose sum is σ = 334769058131040. Its totient is φ = 36205265682432.

The previous prime is 112241175948287. The next prime is 112241175948329. The reversal of 112241175948288 is 882849571142211.

112241175948288 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 1 + 1 + 75 + 9 + 482 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (112241175948287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11584387348 + ... + 11584397036.

Almost surely, 2^{112241175948288} is an apocalyptic number.

112241175948288 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 112241175948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167384529065520).

112241175948288 is an abundant number, since it is smaller than the sum of its proper divisors (222527882182752).

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

112241175948288 is a wasteful number, since it uses less digits than its factorization.

112241175948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 10091 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 63.

The spelling of 112241175948288 in words is "one hundred twelve trillion, two hundred forty-one billion, one hundred seventy-five million, nine hundred forty-eight thousand, two hundred eighty-eight".