448100819712 has 1440 divisors, whose sum is σ = 1744138332160. Its totient is φ = 112661176320.

The previous prime is 448100819707. The next prime is 448100819713. The reversal of 448100819712 is 217918001844.

448100819712 is a `hidden beast` number, since 4 + 481 + 0 + 0 + 81 + 97 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (448100819713) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6688071903 + ... + 6688071969.

Almost surely, 2^448100819712 is an apocalyptic number.

448100819712 is a gapful number since it is divisible by the number (42) 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 448100819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872069166080).

448100819712 is an abundant number, since it is smaller than the sum of its proper divisors (1296037512448).

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

448100819712 is an equidigital number, since it uses as much as digits as its factorization.

448100819712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 448100819712 in words is "four hundred forty-eight billion, one hundred million, eight hundred nineteen thousand, seven hundred twelve".