445918384768 has 128 divisors (see below), whose sum is σ = 944888832000. Its totient is φ = 209024105472.

The previous prime is 445918384763. The next prime is 445918384771. The reversal of 445918384768 is 867483819544.

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

It is not an unprimeable number, because it can be changed into a prime (445918384763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136825123 + ... + 136828381.

It is an arithmetic number, because the mean of its divisors is an integer number (7381944000).

Almost surely, 2^445918384768 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 445918384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472444416000).

445918384768 is an abundant number, since it is smaller than the sum of its proper divisors (498970447232).

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

445918384768 is a wasteful number, since it uses less digits than its factorization.

445918384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3850 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 67.

The spelling of 445918384768 in words is "four hundred forty-five billion, nine hundred eighteen million, three hundred eighty-four thousand, seven hundred sixty-eight".