271948704768 has 528 divisors, whose sum is σ = 869237031936. Its totient is φ = 81378017280.

The previous prime is 271948704751. The next prime is 271948704787. The reversal of 271948704768 is 867407849172.

271948704768 is a `hidden beast` number, since 2 + 7 + 1 + 94 + 8 + 70 + 476 + 8 = 666.

271948704768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928152430 + ... + 928152722.

Almost surely, 2^271948704768 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 271948704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434618515968).

271948704768 is an abundant number, since it is smaller than the sum of its proper divisors (597288327168).

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

271948704768 is a wasteful number, since it uses less digits than its factorization.

271948704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 271948704768 in words is "two hundred seventy-one billion, nine hundred forty-eight million, seven hundred four thousand, seven hundred sixty-eight".