480849378568 has 32 divisors (see below), whose sum is σ = 973070564760. Its totient is φ = 221444835840.

The previous prime is 480849378557. The next prime is 480849378577. The reversal of 480849378568 is 865873948084.

It can be written as a sum of positive squares in 4 ways, for example, as 439996075684 + 40853302884 = 663322^2 + 202122^2 .

It is a super-3 number, since 3×480849378568³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 480849378497 and 480849378506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5011063 + ... + 5106118.

Almost surely, 2^480849378568 is an apocalyptic number.

It is an amenable number.

480849378568 is an abundant number, since it is smaller than the sum of its proper divisors (492221186192).

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

480849378568 is a wasteful number, since it uses less digits than its factorization.

480849378568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117657 (or 10117653 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 70.

The spelling of 480849378568 in words is "four hundred eighty billion, eight hundred forty-nine million, three hundred seventy-eight thousand, five hundred sixty-eight".