448854829516800 has 1296 divisors, whose sum is σ = 1890974215412100. Its totient is φ = 101442178252800.

The previous prime is 448854829516669. The next prime is 448854829516801. The reversal of 448854829516800 is 8615928458844.

448854829516800 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 5 + 4 + 8 + 29 + 516 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24045136045056 + 424809693471744 = 4903584^2 + 20610912^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (448854829516801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2009437120 + ... + 2009660480.

Almost surely, 2^{448854829516800} is an apocalyptic number.

448854829516800 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 448854829516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945487107706050).

448854829516800 is an abundant number, since it is smaller than the sum of its proper divisors (1442119385895300).

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

448854829516800 is a wasteful number, since it uses less digits than its factorization.

448854829516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223502 (or 223467 counting only the distinct ones).

The product of its (nonzero) digits is 707788800, while the sum is 72.

The spelling of 448854829516800 in words is "four hundred forty-eight trillion, eight hundred fifty-four billion, eight hundred twenty-nine million, five hundred sixteen thousand, eight hundred".