8189809152 has 160 divisors (see below), whose sum is σ = 25740447744. Its totient is φ = 2264371200.

The previous prime is 8189809127. The next prime is 8189809181. The reversal of 8189809152 is 2519089818.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8189809095 and 8189809104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321027 + ... + 345597.

Almost surely, 2^8189809152 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 8189809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870223872).

8189809152 is an abundant number, since it is smaller than the sum of its proper divisors (17550638592).

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

8189809152 is a wasteful number, since it uses less digits than its factorization.

8189809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24630 (or 24614 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 51.

The square root of 8189809152 is about 90497.5643429148. The cubic root of 8189809152 is about 2015.6939570702.

The spelling of 8189809152 in words is "eight billion, one hundred eighty-nine million, eight hundred nine thousand, one hundred fifty-two".