448571320848 has 360 divisors, whose sum is σ = 1547724912480. Its totient is φ = 124023312000.

The previous prime is 448571320829. The next prime is 448571320903. The reversal of 448571320848 is 848023175844.

448571320848 is a `hidden beast` number, since 4 + 4 + 8 + 571 + 3 + 20 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 448571320794 and 448571320803.

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 71 ways as a sum of consecutive naturals, for example, 20331423 + ... + 20353473.

It is an arithmetic number, because the mean of its divisors is an integer number (4299235868).

Almost surely, 2^448571320848 is an apocalyptic number.

448571320848 is a gapful number since it is divisible by the number (48) 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 448571320848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773862456240).

448571320848 is an abundant number, since it is smaller than the sum of its proper divisors (1099153591632).

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

448571320848 is a wasteful number, since it uses less digits than its factorization.

448571320848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22144 (or 22094 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 448571320848 in words is "four hundred forty-eight billion, five hundred seventy-one million, three hundred twenty thousand, eight hundred forty-eight".