482133606331284 has 96 divisors (see below), whose sum is σ = 1262184826842240. Its totient is φ = 159148616776704.

The previous prime is 482133606331283. The next prime is 482133606331313.

482133606331284 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 3 + 3 + 606 + 3 + 3 + 1 + 28 + 4 = 666.

482133606331284 is nontrivially palindromic in base 10.

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 482133606331284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482133606331283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44560029 + ... + 54312644.

It is an arithmetic number, because the mean of its divisors is an integer number (13147758612940).

Almost surely, 2^{482133606331284} is an apocalyptic number.

It is an amenable number.

482133606331284 is an abundant number, since it is smaller than the sum of its proper divisors (780051220510956).

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

482133606331284 is a wasteful number, since it uses less digits than its factorization.

482133606331284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98873126 (or 98873118 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 482133606331284 in words is "four hundred eighty-two trillion, one hundred thirty-three billion, six hundred six million, three hundred thirty-one thousand, two hundred eighty-four".