445253352544 has 192 divisors, whose sum is σ = 1238910543360. Its totient is φ = 151702917120.

The previous prime is 445253352539. The next prime is 445253352581.

It is a happy number.

445253352544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445253352494 and 445253352503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242812 + ... + 974404.

It is an arithmetic number, because the mean of its divisors is an integer number (6452659080).

Almost surely, 2^445253352544 is an apocalyptic number.

445253352544 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 445253352544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619455271680).

445253352544 is an abundant number, since it is smaller than the sum of its proper divisors (793657190816).

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

445253352544 is a wasteful number, since it uses less digits than its factorization.

445253352544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731653 (or 731645 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 46.

It can be divided in two parts, 445253 and 352544, that added together give a palindrome (797797).

The spelling of 445253352544 in words is "four hundred forty-five billion, two hundred fifty-three million, three hundred fifty-two thousand, five hundred forty-four".