8217041112 has 384 divisors, whose sum is σ = 28273190400. Its totient is φ = 2183500800.

The previous prime is 8217041099. The next prime is 8217041179. The reversal of 8217041112 is 2111407128.

8217041112 is a `hidden beast` number, since 82 + 170 + 411 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 15771412 + ... + 15771932.

It is an arithmetic number, because the mean of its divisors is an integer number (73628100).

Almost surely, 2^8217041112 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 8217041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136595200).

8217041112 is an abundant number, since it is smaller than the sum of its proper divisors (20056149288).

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

8217041112 is a wasteful number, since it uses less digits than its factorization.

8217041112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 8217041112 is about 90647.8963462473. The cubic root of 8217041112 is about 2017.9256154883.

The spelling of 8217041112 in words is "eight billion, two hundred seventeen million, forty-one thousand, one hundred twelve".