447852367872 has 416 divisors, whose sum is σ = 1633031151360. Its totient is φ = 118112256000.

The previous prime is 447852367847. The next prime is 447852367873. The reversal of 447852367872 is 278763258744.

447852367872 is a `hidden beast` number, since 4 + 47 + 8 + 523 + 67 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447852367873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10041622 + ... + 10086122.

Almost surely, 2^447852367872 is an apocalyptic number.

447852367872 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 447852367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816515575680).

447852367872 is an abundant number, since it is smaller than the sum of its proper divisors (1185178783488).

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

447852367872 is a wasteful number, since it uses less digits than its factorization.

447852367872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44554 (or 44526 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 63.

The spelling of 447852367872 in words is "four hundred forty-seven billion, eight hundred fifty-two million, three hundred sixty-seven thousand, eight hundred seventy-two".