482271913764 has 135 divisors (see below), whose sum is σ = 1293628884163. Its totient is φ = 156669724800.

The previous prime is 482271913741. The next prime is 482271913769. The reversal of 482271913764 is 467319172284.

The square root of 482271913764 is 694458.

It is a perfect power (a square), and thus also a powerful number.

482271913764 is a `hidden beast` number, since 4 + 82 + 2 + 7 + 191 + 376 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88540763364 + 393731150400 = 297558^2 + 627480^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 482271913764.

It is not an unprimeable number, because it can be changed into a prime (482271913769) 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 44 ways as a sum of consecutive naturals, for example, 512509534 + ... + 512510474.

Almost surely, 2^482271913764 is an apocalyptic number.

482271913764 is the 694458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482271913764

482271913764 is an abundant number, since it is smaller than the sum of its proper divisors (811356970399).

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

482271913764 is an frugal number, since it uses more digits than its factorization.

482271913764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 987 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 482271913764 in words is "four hundred eighty-two billion, two hundred seventy-one million, nine hundred thirteen thousand, seven hundred sixty-four".