8003189306304 has 224 divisors, whose sum is σ = 24730066506240. Its totient is φ = 2533113944064.

The previous prime is 8003189306269. The next prime is 8003189306317. The reversal of 8003189306304 is 4036039813008.

8003189306304 is a `hidden beast` number, since 8 + 0 + 0 + 3 + 1 + 8 + 9 + 3 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8003189306304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4710007 + ... + 6179849.

Almost surely, 2^{8003189306304} 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 8003189306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365033253120).

8003189306304 is an abundant number, since it is smaller than the sum of its proper divisors (16726877199936).

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

8003189306304 is a wasteful number, since it uses less digits than its factorization.

8003189306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470024 (or 1470008 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 8003189306304 in words is "eight trillion, three billion, one hundred eighty-nine million, three hundred six thousand, three hundred four".