112417145568 has 384 divisors, whose sum is σ = 424793779200. Its totient is φ = 28087658496.

The previous prime is 112417145551. The next prime is 112417145579. The reversal of 112417145568 is 865541714211.

It is a happy number.

112417145568 is a `hidden beast` number, since 1 + 1 + 2 + 41 + 7 + 1 + 45 + 568 = 666.

It is a super-2 number, since 2×112417145568² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1456230 + ... + 1531482.

It is an arithmetic number, because the mean of its divisors is an integer number (1106233800).

Almost surely, 2^112417145568 is an apocalyptic number.

112417145568 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 112417145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212396889600).

112417145568 is an abundant number, since it is smaller than the sum of its proper divisors (312376633632).

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

112417145568 is a wasteful number, since it uses less digits than its factorization.

112417145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75311 (or 75297 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

Adding to 112417145568 its reverse (865541714211), we get a palindrome (977958859779).

The spelling of 112417145568 in words is "one hundred twelve billion, four hundred seventeen million, one hundred forty-five thousand, five hundred sixty-eight".