445844448544 has 144 divisors (see below), whose sum is σ = 1025090680824. Its totient is φ = 190076395520.

The previous prime is 445844448523. The next prime is 445844448671.

445844448544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 393957075600 + 51887372944 = 627660^2 + 227788^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19274874 + ... + 19297990.

Almost surely, 2^445844448544 is an apocalyptic number.

445844448544 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 445844448544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512545340412).

445844448544 is an abundant number, since it is smaller than the sum of its proper divisors (579246232280).

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

445844448544 is a wasteful number, since it uses less digits than its factorization.

445844448544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23459 (or 23440 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 58.

The spelling of 445844448544 in words is "four hundred forty-five billion, eight hundred forty-four million, four hundred forty-eight thousand, five hundred forty-four".