8189013869568 has 528 divisors, whose sum is σ = 29121584908800. Its totient is φ = 2264231854080.

The previous prime is 8189013869557. The next prime is 8189013869591. The reversal of 8189013869568 is 8659683109818.

8189013869568 is a `hidden beast` number, since 8 + 18 + 90 + 1 + 386 + 95 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8189013869496 and 8189013869505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41899818 + ... + 42094806.

Almost surely, 2^{8189013869568} 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 8189013869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560792454400).

8189013869568 is an abundant number, since it is smaller than the sum of its proper divisors (20932571039232).

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

8189013869568 is a wasteful number, since it uses less digits than its factorization.

8189013869568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195063 (or 195032 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 8189013869568 in words is "eight trillion, one hundred eighty-nine billion, thirteen million, eight hundred sixty-nine thousand, five hundred sixty-eight".