448914845808 has 360 divisors, whose sum is σ = 1489276086480. Its totient is φ = 125486254080.

The previous prime is 448914845807. The next prime is 448914845887. The reversal of 448914845808 is 808548419844.

448914845808 is a `hidden beast` number, since 4 + 4 + 8 + 9 + 1 + 48 + 4 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448914845807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301486728 + ... + 301488216.

It is an arithmetic number, because the mean of its divisors is an integer number (4136878018).

Almost surely, 2^448914845808 is an apocalyptic number.

448914845808 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 448914845808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744638043240).

448914845808 is an abundant number, since it is smaller than the sum of its proper divisors (1040361240672).

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

448914845808 is a wasteful number, since it uses less digits than its factorization.

448914845808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 448914845808 in words is "four hundred forty-eight billion, nine hundred fourteen million, eight hundred forty-five thousand, eight hundred eight".