271138398384 has 160 divisors (see below), whose sum is σ = 847889303040. Its totient is φ = 72885620736.

The previous prime is 271138398379. The next prime is 271138398409. The reversal of 271138398384 is 483893831172.

It is a super-2 number, since 2×271138398384² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20893722 + ... + 20906694.

It is an arithmetic number, because the mean of its divisors is an integer number (5299308144).

Almost surely, 2^271138398384 is an apocalyptic number.

271138398384 is a gapful number since it is divisible by the number (24) 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 271138398384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423944651520).

271138398384 is an abundant number, since it is smaller than the sum of its proper divisors (576750904656).

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

271138398384 is a wasteful number, since it uses less digits than its factorization.

271138398384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16667 (or 16661 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 271138398384 in words is "two hundred seventy-one billion, one hundred thirty-eight million, three hundred ninety-eight thousand, three hundred eighty-four".