112432114414224 has 320 divisors, whose sum is σ = 376253433953280. Its totient is φ = 31766513633280.

The previous prime is 112432114413977. The next prime is 112432114414267. The reversal of 112432114414224 is 422414411234211.

112432114414224 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 3 + 2 + 1 + 14 + 414 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 2140327 + ... + 15147449.

It is an arithmetic number, because the mean of its divisors is an integer number (1175791981104).

Almost surely, 2^{112432114414224} 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 112432114414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188126716976640).

112432114414224 is an abundant number, since it is smaller than the sum of its proper divisors (263821319539056).

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

112432114414224 is a wasteful number, since it uses less digits than its factorization.

112432114414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13007275 (or 13007263 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 112432114414224 its reverse (422414411234211), we get a palindrome (534846525648435).

The spelling of 112432114414224 in words is "one hundred twelve trillion, four hundred thirty-two billion, one hundred fourteen million, four hundred fourteen thousand, two hundred twenty-four".