445855982208 has 256 divisors, whose sum is σ = 1461969949440. Its totient is φ = 117236367360.

The previous prime is 445855982207. The next prime is 445855982249. The reversal of 445855982208 is 802289558544.

It is not an unprimeable number, because it can be changed into a prime (445855982203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11757198 + ... + 11795058.

It is an arithmetic number, because the mean of its divisors is an integer number (5710820115).

Almost surely, 2^445855982208 is an apocalyptic number.

445855982208 is a gapful number since it is divisible by the number (48) 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 445855982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730984974720).

445855982208 is an abundant number, since it is smaller than the sum of its proper divisors (1016113967232).

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

445855982208 is a wasteful number, since it uses less digits than its factorization.

445855982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38235 (or 38223 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 60.

The spelling of 445855982208 in words is "four hundred forty-five billion, eight hundred fifty-five million, nine hundred eighty-two thousand, two hundred eight".