445513010304 has 128 divisors (see below), whose sum is σ = 1207441630080. Its totient is φ = 145516953600.

The previous prime is 445513010297. The next prime is 445513010357. The reversal of 445513010304 is 403010315544.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3702837 + ... + 3821259.

It is an arithmetic number, because the mean of its divisors is an integer number (9433137735).

Almost surely, 2^445513010304 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 445513010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603720815040).

445513010304 is an abundant number, since it is smaller than the sum of its proper divisors (761928619776).

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

445513010304 is a wasteful number, since it uses less digits than its factorization.

445513010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118638 (or 118626 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 445513010304 its reverse (403010315544), we get a palindrome (848523325848).

The spelling of 445513010304 in words is "four hundred forty-five billion, five hundred thirteen million, ten thousand, three hundred four".