449072382403584 has 231 divisors, whose sum is σ = 1345998493862347. Its totient is φ = 149684691032064.

The previous prime is 449072382403577. The next prime is 449072382403607. The reversal of 449072382403584 is 485304283270944.

The square root of 449072382403584 is 21191328.

It is a perfect power (a square), and thus also a powerful number.

449072382403584 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 7 + 2 + 3 + 8 + 2 + 40 + 3 + 584 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18309295129 + ... + 18309319655.

Almost surely, 2^{449072382403584} is an apocalyptic number.

449072382403584 is the 21191328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449072382403584

449072382403584 is an abundant number, since it is smaller than the sum of its proper divisors (896926111458763).

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

449072382403584 is an frugal number, since it uses more digits than its factorization.

449072382403584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49092 (or 24532 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 449072382403584 in words is "four hundred forty-nine trillion, seventy-two billion, three hundred eighty-two million, four hundred three thousand, five hundred eighty-four".