447008587021152 has 768 divisors, whose sum is σ = 1463986087280640. Its totient is φ = 131766994944000.

The previous prime is 447008587021111. The next prime is 447008587021159. The reversal of 447008587021152 is 251120785800744.

447008587021152 is a `hidden beast` number, since 4 + 4 + 7 + 0 + 0 + 8 + 587 + 0 + 2 + 1 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447008587021159) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15405044148 + ... + 15405073164.

It is an arithmetic number, because the mean of its divisors is an integer number (1906231884480).

Almost surely, 2^{447008587021152} 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 447008587021152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731993043640320).

447008587021152 is an abundant number, since it is smaller than the sum of its proper divisors (1016977500259488).

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

447008587021152 is a wasteful number, since it uses less digits than its factorization.

447008587021152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29524 (or 29510 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 447008587021152 in words is "four hundred forty-seven trillion, eight billion, five hundred eighty-seven million, twenty-one thousand, one hundred fifty-two".