9905613822 has 128 divisors (see below), whose sum is σ = 25575419520. Its totient is φ = 2814289920.

The previous prime is 9905613821. The next prime is 9905613829. The reversal of 9905613822 is 2283165099.

9905613822 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 613 + 8 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905613821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624672 + ... + 640332.

It is an arithmetic number, because the mean of its divisors is an integer number (199807965).

Almost surely, 2^9905613822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9905613822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787709760).

9905613822 is an abundant number, since it is smaller than the sum of its proper divisors (15669805698).

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

9905613822 is a wasteful number, since it uses less digits than its factorization.

9905613822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9905613822 is about 99526.9502295735. The cubic root of 9905613822 is about 2147.6349563798.

The spelling of 9905613822 in words is "nine billion, nine hundred five million, six hundred thirteen thousand, eight hundred twenty-two".