6005096448 has 256 divisors, whose sum is σ = 17850685440. Its totient is φ = 1783627776.

The previous prime is 6005096443. The next prime is 6005096453. The reversal of 6005096448 is 8446905006.

It is an interprime number because it is at equal distance from previous prime (6005096443) and next prime (6005096453).

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×6005096448³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6005096443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47284161 + ... + 47284287.

It is an arithmetic number, because the mean of its divisors is an integer number (69729240).

Almost surely, 2^6005096448 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 6005096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925342720).

6005096448 is an abundant number, since it is smaller than the sum of its proper divisors (11845588992).

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

6005096448 is a wasteful number, since it uses less digits than its factorization.

6005096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6005096448 is about 77492.5573716599. The cubic root of 6005096448 is about 1817.6349394857.

The spelling of 6005096448 in words is "six billion, five million, ninety-six thousand, four hundred forty-eight".