8189127648 has 384 divisors, whose sum is σ = 27501465600. Its totient is φ = 2351462400.

The previous prime is 8189127631. The next prime is 8189127659. The reversal of 8189127648 is 8467219818.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8189127594 and 8189127603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10097163 + ... + 10097973.

It is an arithmetic number, because the mean of its divisors is an integer number (71618400).

Almost surely, 2^8189127648 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 8189127648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750732800).

8189127648 is an abundant number, since it is smaller than the sum of its proper divisors (19312337952).

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

8189127648 is a wasteful number, since it uses less digits than its factorization.

8189127648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 889 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 8189127648 is about 90493.7989477732. The cubic root of 8189127648 is about 2015.6380444283.

The spelling of 8189127648 in words is "eight billion, one hundred eighty-nine million, one hundred twenty-seven thousand, six hundred forty-eight".