8161122816 has 960 divisors, whose sum is σ = 32915393280. Its totient is φ = 1946419200.

The previous prime is 8161122811. The next prime is 8161122829. The reversal of 8161122816 is 6182211618.

8161122816 is a `hidden beast` number, since 8 + 1 + 611 + 2 + 28 + 16 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8161122811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199051756 + ... + 199051796.

It is an arithmetic number, because the mean of its divisors is an integer number (34286868).

Almost surely, 2^8161122816 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 8161122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457696640).

8161122816 is an abundant number, since it is smaller than the sum of its proper divisors (24754270464).

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

8161122816 is a wasteful number, since it uses less digits than its factorization.

8161122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 8161122816 is about 90338.9330023329. The cubic root of 8161122816 is about 2013.3377557417.

The spelling of 8161122816 in words is "eight billion, one hundred sixty-one million, one hundred twenty-two thousand, eight hundred sixteen".