444982906368 has 1280 divisors, whose sum is σ = 1794865121280. Its totient is φ = 106420469760.

The previous prime is 444982906339. The next prime is 444982906387. The reversal of 444982906368 is 863609289444.

444982906368 is a `hidden beast` number, since 4 + 4 + 498 + 29 + 0 + 63 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1120863546 + ... + 1120863942.

It is an arithmetic number, because the mean of its divisors is an integer number (1402238376).

Almost surely, 2^444982906368 is an apocalyptic number.

444982906368 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 444982906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897432560640).

444982906368 is an abundant number, since it is smaller than the sum of its proper divisors (1349882214912).

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

444982906368 is an equidigital number, since it uses as much as digits as its factorization.

444982906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 444982906368 in words is "four hundred forty-four billion, nine hundred eighty-two million, nine hundred six thousand, three hundred sixty-eight".