445345141543544 has 192 divisors, whose sum is σ = 990670069620000. Its totient is φ = 186962201395200.

The previous prime is 445345141543403. The next prime is 445345141543559.

445345141543544 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 445345141543544.

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, 125019632 + ... + 128532480.

Almost surely, 2^{445345141543544} is an apocalyptic number.

445345141543544 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 445345141543544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495335034810000).

445345141543544 is an abundant number, since it is smaller than the sum of its proper divisors (545324928076456).

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

445345141543544 is a wasteful number, since it uses less digits than its factorization.

445345141543544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513070 (or 3513055 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 56.

The spelling of 445345141543544 in words is "four hundred forty-five trillion, three hundred forty-five billion, one hundred forty-one million, five hundred forty-three thousand, five hundred forty-four".