482883666388284 has 192 divisors, whose sum is σ = 1377027025920000. Its totient is φ = 128556879667200.

The previous prime is 482883666388283. The next prime is 482883666388307.

482883666388284 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 482883666388197 and 482883666388206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482883666388283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2343457749 + ... + 2343663795.

It is an arithmetic number, because the mean of its divisors is an integer number (7172015760000).

Almost surely, 2^{482883666388284} 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 482883666388284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688513512960000).

482883666388284 is an abundant number, since it is smaller than the sum of its proper divisors (894143359531716).

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

482883666388284 is a wasteful number, since it uses less digits than its factorization.

482883666388284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222428 (or 222426 counting only the distinct ones).

The product of its digits is 32614907904, while the sum is 84.

The spelling of 482883666388284 in words is "four hundred eighty-two trillion, eight hundred eighty-three billion, six hundred sixty-six million, three hundred eighty-eight thousand, two hundred eighty-four".