444009581568 has 1056 divisors, whose sum is σ = 1618630041600. Its totient is φ = 116833812480.

The previous prime is 444009581563. The next prime is 444009581657. The reversal of 444009581568 is 865185900444.

444009581568 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 0 + 9 + 581 + 56 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (444009581563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2253855646 + ... + 2253855842.

It is an arithmetic number, because the mean of its divisors is an integer number (1532793600).

Almost surely, 2^444009581568 is an apocalyptic number.

444009581568 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 444009581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809315020800).

444009581568 is an abundant number, since it is smaller than the sum of its proper divisors (1174620460032).

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

444009581568 is a wasteful number, since it uses less digits than its factorization.

444009581568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 444009581568 in words is "four hundred forty-four billion, nine million, five hundred eighty-one thousand, five hundred sixty-eight".