271481464184172 has 120 divisors (see below), whose sum is σ = 696848788760880. Its totient is φ = 82261125703680.

The previous prime is 271481464184171. The next prime is 271481464184237.

It is a happy number.

271481464184172 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (271481464184171) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2816821648 + ... + 2816918024.

It is an arithmetic number, because the mean of its divisors is an integer number (5807073239674).

Almost surely, 2^{271481464184172} is an apocalyptic number.

271481464184172 is a gapful number since it is divisible by the number (22) 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 271481464184172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348424394380440).

271481464184172 is an abundant number, since it is smaller than the sum of its proper divisors (425367324576708).

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

271481464184172 is a wasteful number, since it uses less digits than its factorization.

271481464184172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112461 (or 112426 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 60.

The spelling of 271481464184172 in words is "two hundred seventy-one trillion, four hundred eighty-one billion, four hundred sixty-four million, one hundred eighty-four thousand, one hundred seventy-two".