271348931664 has 80 divisors (see below), whose sum is σ = 803996874240. Its totient is φ = 87531909120.

The previous prime is 271348931621. The next prime is 271348931681. The reversal of 271348931664 is 466139843172.

271348931664 is a `hidden beast` number, since 2 + 71 + 3 + 489 + 31 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 271348931664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10117617 + ... + 10144400.

It is an arithmetic number, because the mean of its divisors is an integer number (10049960928).

Almost surely, 2^271348931664 is an apocalyptic number.

271348931664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

271348931664 is an abundant number, since it is smaller than the sum of its proper divisors (532647942576).

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

271348931664 is a wasteful number, since it uses less digits than its factorization.

271348931664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262065 (or 20262053 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 271348931664 in words is "two hundred seventy-one billion, three hundred forty-eight million, nine hundred thirty-one thousand, six hundred sixty-four".