449071536384 has 243 divisors, whose sum is σ = 1355760045003. Its totient is φ = 142946343936.

The previous prime is 449071536379. The next prime is 449071536401. The reversal of 449071536384 is 483635170944.

The square root of 449071536384 is 670128.

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

449071536384 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 71 + 536 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 449071536384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 739821009 + ... + 739821615.

Almost surely, 2^449071536384 is an apocalyptic number.

449071536384 is the 670128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449071536384

449071536384 is an abundant number, since it is smaller than the sum of its proper divisors (906688508619).

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

449071536384 is an frugal number, since it uses more digits than its factorization.

449071536384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 449071536384 in words is "four hundred forty-nine billion, seventy-one million, five hundred thirty-six thousand, three hundred eighty-four".