448441546350 has 288 divisors, whose sum is σ = 1346585527296. Its totient is φ = 96732921600.

The previous prime is 448441546337. The next prime is 448441546361. The reversal of 448441546350 is 53645144844.

It is a self number, because there is not a number n which added to its sum of digits gives 448441546350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104994715 + ... + 104998985.

It is an arithmetic number, because the mean of its divisors is an integer number (4675644192).

Almost surely, 2^448441546350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448441546350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673292763648).

448441546350 is an abundant number, since it is smaller than the sum of its proper divisors (898143980946).

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

448441546350 is a wasteful number, since it uses less digits than its factorization.

448441546350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 448441546350 in words is "four hundred forty-eight billion, four hundred forty-one million, five hundred forty-six thousand, three hundred fifty".