8063128458 has 576 divisors, whose sum is σ = 25813831680. Its totient is φ = 1785369600.

The previous prime is 8063128457. The next prime is 8063128471. The reversal of 8063128458 is 8548213608.

8063128458 is a `hidden beast` number, since 8 + 0 + 631 + 2 + 8 + 4 + 5 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8063128453) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 97146085 + ... + 97146167.

It is an arithmetic number, because the mean of its divisors is an integer number (44815680).

Almost surely, 2^8063128458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8063128458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906915840).

8063128458 is an abundant number, since it is smaller than the sum of its proper divisors (17750703222).

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

8063128458 is a wasteful number, since it uses less digits than its factorization.

8063128458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8063128458 is about 89794.9244556729. The cubic root of 8063128458 is about 2005.2469276709.

The spelling of 8063128458 in words is "eight billion, sixty-three million, one hundred twenty-eight thousand, four hundred fifty-eight".