481271172184 has 96 divisors (see below), whose sum is σ = 1050734643840. Its totient is φ = 205790858240.

The previous prime is 481271172143. The next prime is 481271172209.

481271172184 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×481271172184² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40755609 + ... + 40767415.

It is an arithmetic number, because the mean of its divisors is an integer number (10945152540).

Almost surely, 2^481271172184 is an apocalyptic number.

481271172184 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 481271172184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525367321920).

481271172184 is an abundant number, since it is smaller than the sum of its proper divisors (569463471656).

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

481271172184 is a wasteful number, since it uses less digits than its factorization.

481271172184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14329 (or 14314 counting only the distinct ones).

The product of its digits is 200704, while the sum is 46.

The spelling of 481271172184 in words is "four hundred eighty-one billion, two hundred seventy-one million, one hundred seventy-two thousand, one hundred eighty-four".