448437535872 has 128 divisors (see below), whose sum is σ = 1236033976320. Its totient is φ = 143946163200.

The previous prime is 448437535817. The next prime is 448437535873. The reversal of 448437535872 is 278535734844.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (448437535873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981097 + ... + 1363607.

It is an arithmetic number, because the mean of its divisors is an integer number (9656515440).

Almost surely, 2^448437535872 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 448437535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618016988160).

448437535872 is an abundant number, since it is smaller than the sum of its proper divisors (787596440448).

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

448437535872 is a wasteful number, since it uses less digits than its factorization.

448437535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382642 (or 382630 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 60.

The spelling of 448437535872 in words is "four hundred forty-eight billion, four hundred thirty-seven million, five hundred thirty-five thousand, eight hundred seventy-two".