271674316609344 has 896 divisors, whose sum is σ = 897861128693760. Its totient is φ = 79843121971200.

The previous prime is 271674316609309. The next prime is 271674316609361. The reversal of 271674316609344 is 443906613476172.

271674316609344 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 7 + 4 + 3 + 16 + 609 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×271674316609344² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70509812922 + ... + 70509816774.

It is an arithmetic number, because the mean of its divisors is an integer number (1002077152560).

Almost surely, 2^{271674316609344} is an apocalyptic number.

271674316609344 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 271674316609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448930564346880).

271674316609344 is an abundant number, since it is smaller than the sum of its proper divisors (626186812084416).

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

271674316609344 is a wasteful number, since it uses less digits than its factorization.

271674316609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 271674316609344 in words is "two hundred seventy-one trillion, six hundred seventy-four billion, three hundred sixteen million, six hundred nine thousand, three hundred forty-four".