448884488844 has 432 divisors, whose sum is σ = 1365547214304. Its totient is φ = 123713187840.

The previous prime is 448884488839. The next prime is 448884488887.

448884488844 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 474006379 + ... + 474007325.

It is an arithmetic number, because the mean of its divisors is an integer number (3160988922).

Almost surely, 2^448884488844 is an apocalyptic number.

448884488844 is a gapful number since it is divisible by the number (44) 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 448884488844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682773607152).

448884488844 is an abundant number, since it is smaller than the sum of its proper divisors (916662725460).

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

448884488844 is a wasteful number, since it uses less digits than its factorization.

448884488844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1190 counting only the distinct ones).

The product of its digits is 1073741824, while the sum is 72.

The spelling of 448884488844 in words is "four hundred forty-eight billion, eight hundred eighty-four million, four hundred eighty-eight thousand, eight hundred forty-four".