448855888000 has 384 divisors, whose sum is σ = 1219716061200. Its totient is φ = 164264755200.

The previous prime is 448855887967. The next prime is 448855888001. The reversal of 448855888000 is 888558844.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 24 ways, for example, as 277678410304 + 171177477696 = 526952^2 + 413736^2 .

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (448855888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3972175944 + ... + 3972176056.

Almost surely, 2^448855888000 is an apocalyptic number.

448855888000 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 448855888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609858030600).

448855888000 is an abundant number, since it is smaller than the sum of its proper divisors (770860173200).

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

448855888000 is an frugal number, since it uses more digits than its factorization.

448855888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 58.

The spelling of 448855888000 in words is "four hundred forty-eight billion, eight hundred fifty-five million, eight hundred eighty-eight thousand".