447387412774752 has 288 divisors, whose sum is σ = 1321050348334080. Its totient is φ = 143467180231680.

The previous prime is 447387412774751. The next prime is 447387412774769. The reversal of 447387412774752 is 257477214783744.

447387412774752 is a `hidden beast` number, since 4 + 4 + 7 + 3 + 8 + 74 + 12 + 77 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447387412774751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5284914058 + ... + 5284998710.

It is an arithmetic number, because the mean of its divisors is an integer number (4586980376160).

Almost surely, 2^{447387412774752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447387412774752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660525174167040).

447387412774752 is an abundant number, since it is smaller than the sum of its proper divisors (873662935559328).

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

447387412774752 is a wasteful number, since it uses less digits than its factorization.

447387412774752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88186 (or 88175 counting only the distinct ones).

The product of its digits is 2065244160, while the sum is 72.

The spelling of 447387412774752 in words is "four hundred forty-seven trillion, three hundred eighty-seven billion, four hundred twelve million, seven hundred seventy-four thousand, seven hundred fifty-two".