445441144544 has 48 divisors (see below), whose sum is σ = 957991814640. Its totient is φ = 202196904960.

The previous prime is 445441144523. The next prime is 445441144591.

445441144544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 445441144495 and 445441144504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605189 + ... + 1121220.

It is an arithmetic number, because the mean of its divisors is an integer number (19958162805).

Almost surely, 2^445441144544 is an apocalyptic number.

445441144544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445441144544 is an abundant number, since it is smaller than the sum of its proper divisors (512550670096).

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

445441144544 is a wasteful number, since it uses less digits than its factorization.

445441144544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727163 (or 1727155 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 445441 and 144544, that added together give a palindrome (589985).

The spelling of 445441144544 in words is "four hundred forty-five billion, four hundred forty-one million, one hundred forty-four thousand, five hundred forty-four".