448245542844 has 144 divisors (see below), whose sum is σ = 1338002749440. Its totient is φ = 128682807840.

The previous prime is 448245542819. The next prime is 448245542851.

448245542844 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 4 + 554 + 2 + 84 + 4 = 666.

448245542844 is nontrivially palindromic in base 10.

448245542844 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93724 + ... + 951459.

It is an arithmetic number, because the mean of its divisors is an integer number (9291685760).

Almost surely, 2^448245542844 is an apocalyptic number.

448245542844 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 448245542844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669001374720).

448245542844 is an abundant number, since it is smaller than the sum of its proper divisors (889757206596).

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

448245542844 is a wasteful number, since it uses less digits than its factorization.

448245542844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045245 (or 1045218 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 54.

The spelling of 448245542844 in words is "four hundred forty-eight billion, two hundred forty-five million, five hundred forty-two thousand, eight hundred forty-four".