445344484443544 has 192 divisors, whose sum is σ = 1037959566252480. Its totient is φ = 174869640806400.

The previous prime is 445344484443457. The next prime is 445344484443559.

445344484443544 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731038114 + ... + 731647054.

It is an arithmetic number, because the mean of its divisors is an integer number (5406039407565).

Almost surely, 2^{445344484443544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445344484443544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518979783126240).

445344484443544 is an abundant number, since it is smaller than the sum of its proper divisors (592615081808936).

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

445344484443544 is a wasteful number, since it uses less digits than its factorization.

445344484443544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609510 (or 609465 counting only the distinct ones).

The product of its digits is 1887436800, while the sum is 64.

The spelling of 445344484443544 in words is "four hundred forty-five trillion, three hundred forty-four billion, four hundred eighty-four million, four hundred forty-three thousand, five hundred forty-four".