6128350848 has 192 divisors, whose sum is σ = 18416310120. Its totient is φ = 1954160640.

The previous prime is 6128350843. The next prime is 6128350903. The reversal of 6128350848 is 8480538216.

6128350848 is a `hidden beast` number, since 61 + 2 + 83 + 508 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3944844864 + 2183505984 = 62808^2 + 46728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6128350843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2598886 + ... + 2601242.

Almost surely, 2^6128350848 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 6128350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208155060).

6128350848 is an abundant number, since it is smaller than the sum of its proper divisors (12287959272).

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

6128350848 is a wasteful number, since it uses less digits than its factorization.

6128350848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2460 counting only the distinct ones).

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

The square root of 6128350848 is about 78283.7840679665. The cubic root of 6128350848 is about 1829.9864479871.

The spelling of 6128350848 in words is "six billion, one hundred twenty-eight million, three hundred fifty thousand, eight hundred forty-eight".