481919919184 has 80 divisors (see below), whose sum is σ = 1037713939200. Its totient is φ = 214961472000.

The previous prime is 481919919121. The next prime is 481919919193.

481919919184 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4575142 + ... + 4679290.

It is an arithmetic number, because the mean of its divisors is an integer number (12971424240).

Almost surely, 2^481919919184 is an apocalyptic number.

481919919184 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 481919919184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518856969600).

481919919184 is an abundant number, since it is smaller than the sum of its proper divisors (555794020016).

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

481919919184 is a wasteful number, since it uses less digits than its factorization.

481919919184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104660 (or 104654 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 64.

The spelling of 481919919184 in words is "four hundred eighty-one billion, nine hundred nineteen million, nine hundred nineteen thousand, one hundred eighty-four".