445005327705216 has 256 divisors, whose sum is σ = 1247103595745280. Its totient is φ = 140416390656000.

The previous prime is 445005327705187. The next prime is 445005327705229. The reversal of 445005327705216 is 612507723500544.

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, 97561551 + ... + 102020913.

It is an arithmetic number, because the mean of its divisors is an integer number (4871498420880).

Almost surely, 2^{445005327705216} 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 445005327705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623551797872640).

445005327705216 is an abundant number, since it is smaller than the sum of its proper divisors (802098268040064).

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

445005327705216 is a wasteful number, since it uses less digits than its factorization.

445005327705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459595 (or 4459583 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 445005327705216 in words is "four hundred forty-five trillion, five billion, three hundred twenty-seven million, seven hundred five thousand, two hundred sixteen".