483865568384 has 128 divisors (see below), whose sum is σ = 1098241735680. Its totient is φ = 210196546560.

The previous prime is 483865568317. The next prime is 483865568387.

483865568384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (483865568387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42190619 + ... + 42202085.

It is an arithmetic number, because the mean of its divisors is an integer number (8580013560).

Almost surely, 2^483865568384 is an apocalyptic number.

483865568384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483865568384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549120867840).

483865568384 is an abundant number, since it is smaller than the sum of its proper divisors (614376167296).

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

483865568384 is a wasteful number, since it uses less digits than its factorization.

483865568384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12806 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 68.

The spelling of 483865568384 in words is "four hundred eighty-three billion, eight hundred sixty-five million, five hundred sixty-eight thousand, three hundred eighty-four".