3000130891648 has 128 divisors (see below), whose sum is σ = 6968236896000. Its totient is φ = 1271482245120.

The previous prime is 3000130891609. The next prime is 3000130891741. The reversal of 3000130891648 is 8461980310003.

3000130891648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1975453 + ... + 3146851.

It is an arithmetic number, because the mean of its divisors is an integer number (54439350750).

Almost surely, 2^{3000130891648} 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 3000130891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484118448000).

3000130891648 is an abundant number, since it is smaller than the sum of its proper divisors (3968106004352).

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

3000130891648 is a wasteful number, since it uses less digits than its factorization.

3000130891648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171548 (or 1171536 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 3000130891648 in words is "three trillion, one hundred thirty million, eight hundred ninety-one thousand, six hundred forty-eight".