8189526016 has 135 divisors (see below), whose sum is σ = 19243108857. Its totient is φ = 3475046400.

The previous prime is 8189526011. The next prime is 8189526041. The reversal of 8189526016 is 6106259818.

The square root of 8189526016 is 90496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7868399616 + 321126400 = 88704^2 + 17920^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8189526011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81084366 + ... + 81084466.

Almost surely, 2^8189526016 is an apocalyptic number.

8189526016 is the 90496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8189526016

8189526016 is an abundant number, since it is smaller than the sum of its proper divisors (11053582841).

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

8189526016 is an frugal number, since it uses more digits than its factorization.

8189526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The cubic root of 8189526016 is about 2015.6707281162.

The spelling of 8189526016 in words is "eight billion, one hundred eighty-nine million, five hundred twenty-six thousand, sixteen".