448991955456 has 320 divisors, whose sum is σ = 1331530776576. Its totient is φ = 133307596800.

The previous prime is 448991955443. The next prime is 448991955457. The reversal of 448991955456 is 654559199844.

It is not an unprimeable number, because it can be changed into a prime (448991955457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178099476 + ... + 178101996.

Almost surely, 2^448991955456 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 448991955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665765388288).

448991955456 is an abundant number, since it is smaller than the sum of its proper divisors (882538821120).

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

448991955456 is a wasteful number, since it uses less digits than its factorization.

448991955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2747 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 69.

The spelling of 448991955456 in words is "four hundred forty-eight billion, nine hundred ninety-one million, nine hundred fifty-five thousand, four hundred fifty-six".