447805314432 has 672 divisors, whose sum is σ = 1598588835120. Its totient is φ = 124439390208.

The previous prime is 447805314389. The next prime is 447805314487. The reversal of 447805314432 is 234413508744.

447805314432 is a `hidden beast` number, since 4 + 4 + 7 + 80 + 531 + 4 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 169173333 + ... + 169175979.

Almost surely, 2^447805314432 is an apocalyptic number.

447805314432 is a gapful number since it is divisible by the number (42) 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 447805314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799294417560).

447805314432 is an abundant number, since it is smaller than the sum of its proper divisors (1150783520688).

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

447805314432 is an equidigital number, since it uses as much as digits as its factorization.

447805314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 447805314432 in words is "four hundred forty-seven billion, eight hundred five million, three hundred fourteen thousand, four hundred thirty-two".