481335242533184 has 448 divisors, whose sum is σ = 1133687851349760. Its totient is φ = 200814961950720.

The previous prime is 481335242533177. The next prime is 481335242533217.

481335242533184 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 63 ways as a sum of consecutive naturals, for example, 10889176427 + ... + 10889220629.

It is an arithmetic number, because the mean of its divisors is an integer number (2530553239620).

Almost surely, 2^{481335242533184} 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 481335242533184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566843925674880).

481335242533184 is an abundant number, since it is smaller than the sum of its proper divisors (652352608816576).

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

481335242533184 is a wasteful number, since it uses less digits than its factorization.

481335242533184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44658 (or 44648 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 56.

The spelling of 481335242533184 in words is "four hundred eighty-one trillion, three hundred thirty-five billion, two hundred forty-two million, five hundred thirty-three thousand, one hundred eighty-four".