4445532209664 has 1440 divisors, whose sum is σ = 17149964832000. Its totient is φ = 1095593361408.

The previous prime is 4445532209641. The next prime is 4445532209669. The reversal of 4445532209664 is 4669022355444.

4445532209664 is a `hidden beast` number, since 4 + 4 + 4 + 553 + 2 + 20 + 9 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4445532209664.

It is not an unprimeable number, because it can be changed into a prime (4445532209669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4405878792 + ... + 4405879800.

It is an arithmetic number, because the mean of its divisors is an integer number (11909697800).

Almost surely, 2^{4445532209664} 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 4445532209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574982416000).

4445532209664 is an abundant number, since it is smaller than the sum of its proper divisors (12704432622336).

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

4445532209664 is a wasteful number, since it uses less digits than its factorization.

4445532209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 4445532209664 in words is "four trillion, four hundred forty-five billion, five hundred thirty-two million, two hundred nine thousand, six hundred sixty-four".