481343525343184 has 320 divisors, whose sum is σ = 1094113972224000. Its totient is φ = 200907801110016.

The previous prime is 481343525343151. The next prime is 481343525343193.

481343525343184 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240311294727 + ... + 240311296729.

It is an arithmetic number, because the mean of its divisors is an integer number (3419106163200).

Almost surely, 2^{481343525343184} 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 481343525343184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547056986112000).

481343525343184 is an abundant number, since it is smaller than the sum of its proper divisors (612770446880816).

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

481343525343184 is a wasteful number, since it uses less digits than its factorization.

481343525343184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3216 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 58.

The spelling of 481343525343184 in words is "four hundred eighty-one trillion, three hundred forty-three billion, five hundred twenty-five million, three hundred forty-three thousand, one hundred eighty-four".