448709998282560 has 896 divisors, whose sum is σ = 1858277476224000. Its totient is φ = 99774298423296.

The previous prime is 448709998282531. The next prime is 448709998282613. The reversal of 448709998282560 is 65282899907844.

448709998282560 is a `hidden beast` number, since 4 + 48 + 7 + 0 + 9 + 9 + 9 + 8 + 2 + 8 + 2 + 560 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 448709998282560.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 18862067146 + ... + 18862090934.

Almost surely, 2^{448709998282560} is an apocalyptic number.

448709998282560 is a gapful number since it is divisible by the number (40) 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 448709998282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929138738112000).

448709998282560 is an abundant number, since it is smaller than the sum of its proper divisors (1409567477941440).

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

448709998282560 is a wasteful number, since it uses less digits than its factorization.

448709998282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32288 (or 32272 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 448709998282560 in words is "four hundred forty-eight trillion, seven hundred nine billion, nine hundred ninety-eight million, two hundred eighty-two thousand, five hundred sixty".