112214164224 has 144 divisors (see below), whose sum is σ = 303597445760. Its totient is φ = 36787322880.

The previous prime is 112214164211. The next prime is 112214164241. The reversal of 112214164224 is 422461412211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112214164191 and 112214164200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41729472 + ... + 41732160.

Almost surely, 2^112214164224 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 112214164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151798722880).

112214164224 is an abundant number, since it is smaller than the sum of its proper divisors (191383281536).

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

112214164224 is an equidigital number, since it uses as much as digits as its factorization.

112214164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3572 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 112214164224 its reverse (422461412211), we get a palindrome (534675576435).

The spelling of 112214164224 in words is "one hundred twelve billion, two hundred fourteen million, one hundred sixty-four thousand, two hundred twenty-four".