482265209664 has 672 divisors, whose sum is σ = 1796082768000. Its totient is φ = 126024450048.

The previous prime is 482265209663. The next prime is 482265209677. The reversal of 482265209664 is 466902562284.

482265209664 is a `hidden beast` number, since 4 + 8 + 2 + 26 + 520 + 96 + 6 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 482265209664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482265209663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46649104 + ... + 46659440.

Almost surely, 2^482265209664 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 482265209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898041384000).

482265209664 is an abundant number, since it is smaller than the sum of its proper divisors (1313817558336).

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

482265209664 is a wasteful number, since it uses less digits than its factorization.

482265209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 482265209664 in words is "four hundred eighty-two billion, two hundred sixty-five million, two hundred nine thousand, six hundred sixty-four".