448898875776 has 768 divisors, whose sum is σ = 1519533086400. Its totient is φ = 129591705600.

The previous prime is 448898875741. The next prime is 448898875793. The reversal of 448898875776 is 677578898844.

448898875776 is a `hidden beast` number, since 4 + 488 + 9 + 8 + 87 + 57 + 7 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 448898875695 and 448898875704.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1597504756 + ... + 1597505036.

Almost surely, 2^448898875776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448898875776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759766543200).

448898875776 is an abundant number, since it is smaller than the sum of its proper divisors (1070634210624).

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

448898875776 is a wasteful number, since it uses less digits than its factorization.

448898875776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 367 counting only the distinct ones).

The product of its digits is 6069288960, while the sum is 81.

The spelling of 448898875776 in words is "four hundred forty-eight billion, eight hundred ninety-eight million, eight hundred seventy-five thousand, seven hundred seventy-six".