482311113284 has 192 divisors, whose sum is σ = 1195571650560. Its totient is φ = 163962247680.

The previous prime is 482311113259. The next prime is 482311113289.

It is a happy number.

482311113284 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (482311113289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35216342 + ... + 35230034.

It is an arithmetic number, because the mean of its divisors is an integer number (6226935680).

Almost surely, 2^482311113284 is an apocalyptic number.

482311113284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482311113284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597785825280).

482311113284 is an abundant number, since it is smaller than the sum of its proper divisors (713260537276).

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

482311113284 is a wasteful number, since it uses less digits than its factorization.

482311113284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14210 (or 14208 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

It can be divided in two parts, 482311 and 113284, that added together give a palindrome (595595).

The spelling of 482311113284 in words is "four hundred eighty-two billion, three hundred eleven million, one hundred thirteen thousand, two hundred eighty-four".