448331995584 has 168 divisors, whose sum is σ = 1413474856560. Its totient is φ = 135857948160.

The previous prime is 448331995583. The next prime is 448331995591. The reversal of 448331995584 is 485599133844.

448331995584 is a `hidden beast` number, since 4 + 4 + 8 + 33 + 19 + 9 + 5 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448331995583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474262 + ... + 1059050.

Almost surely, 2^448331995584 is an apocalyptic number.

448331995584 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 448331995584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706737428280).

448331995584 is an abundant number, since it is smaller than the sum of its proper divisors (965142860976).

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

448331995584 is a wasteful number, since it uses less digits than its factorization.

448331995584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584840 (or 584805 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 448331995584 in words is "four hundred forty-eight billion, three hundred thirty-one million, nine hundred ninety-five thousand, five hundred eighty-four".