8083236105056 has 432 divisors, whose sum is σ = 20634375065472. Its totient is φ = 3103233638400.

The previous prime is 8083236105029. The next prime is 8083236105163. The reversal of 8083236105056 is 6505016323808.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8083236105056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856905716 + ... + 856915148.

It is an arithmetic number, because the mean of its divisors is an integer number (47764757096).

Almost surely, 2^{8083236105056} 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 8083236105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317187532736).

8083236105056 is an abundant number, since it is smaller than the sum of its proper divisors (12551138960416).

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

8083236105056 is a wasteful number, since it uses less digits than its factorization.

8083236105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 8083236105056 in words is "eight trillion, eighty-three billion, two hundred thirty-six million, one hundred five thousand, fifty-six".