448423133184 has 756 divisors, whose sum is σ = 1528309942866. Its totient is φ = 130714435584.

The previous prime is 448423133131. The next prime is 448423133189. The reversal of 448423133184 is 481331324844.

448423133184 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 231 + 331 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 431176089600 + 17247043584 = 656640^2 + 131328^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (448423133189) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 23601217527 + ... + 23601217545.

Almost surely, 2^448423133184 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 448423133184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764154971433).

448423133184 is an abundant number, since it is smaller than the sum of its proper divisors (1079886809682).

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

448423133184 is an frugal number, since it uses more digits than its factorization.

448423133184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 37 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 448423133184 in words is "four hundred forty-eight billion, four hundred twenty-three million, one hundred thirty-three thousand, one hundred eighty-four".