4803641856 has 480 divisors, whose sum is σ = 16287551280. Its totient is φ = 1349517312.

The previous prime is 4803641851. The next prime is 4803641897. The reversal of 4803641856 is 6581463084.

It can be written as a sum of positive squares in 8 ways, for example, as 1928966400 + 2874675456 = 43920^2 + 53616^2 .

It is not an unprimeable number, because it can be changed into a prime (4803641851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53973460 + ... + 53973548.

Almost surely, 2^4803641856 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 4803641856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143775640).

4803641856 is an abundant number, since it is smaller than the sum of its proper divisors (11483909424).

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

4803641856 is a wasteful number, since it uses less digits than its factorization.

4803641856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4803641856 is about 69308.3101510923. The cubic root of 4803641856 is about 1687.2918422419.

The spelling of 4803641856 in words is "four billion, eight hundred three million, six hundred forty-one thousand, eight hundred fifty-six".