448587422476608 has 112 divisors (see below), whose sum is σ = 1194814495206464. Its totient is φ = 148533597020160.

The previous prime is 448587422476591. The next prime is 448587422476619. The reversal of 448587422476608 is 806674224785844.

It is a self number, because there is not a number n which added to its sum of digits gives 448587422476608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6160191 + ... + 30579777.

Almost surely, 2^{448587422476608} is an apocalyptic number.

448587422476608 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 448587422476608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597407247603232).

448587422476608 is an abundant number, since it is smaller than the sum of its proper divisors (746227072729856).

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

448587422476608 is a wasteful number, since it uses less digits than its factorization.

448587422476608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24420240 (or 24420230 counting only the distinct ones).

The product of its (nonzero) digits is 4624220160, while the sum is 75.

The spelling of 448587422476608 in words is "four hundred forty-eight trillion, five hundred eighty-seven billion, four hundred twenty-two million, four hundred seventy-six thousand, six hundred eight".