112415545242 has 192 divisors, whose sum is σ = 329927060736. Its totient is φ = 26713774080.

The previous prime is 112415545213. The next prime is 112415545313. The reversal of 112415545242 is 242545514211.

112415545242 is a `hidden beast` number, since 1 + 12 + 4 + 1 + 554 + 52 + 42 = 666.

It is a super-2 number, since 2×112415545242² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112415545197 and 112415545206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2008428 + ... + 2063640.

It is an arithmetic number, because the mean of its divisors is an integer number (1718370108).

Almost surely, 2^112415545242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112415545242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164963530368).

112415545242 is an abundant number, since it is smaller than the sum of its proper divisors (217511515494).

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

112415545242 is a wasteful number, since it uses less digits than its factorization.

112415545242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55365 (or 55362 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The spelling of 112415545242 in words is "one hundred twelve billion, four hundred fifteen million, five hundred forty-five thousand, two hundred forty-two".