271345347072 has 240 divisors, whose sum is σ = 814802706432. Its totient is φ = 86835732480.

The previous prime is 271345347071. The next prime is 271345347107. The reversal of 271345347072 is 270743543172.

271345347072 is a `hidden beast` number, since 2 + 71 + 3 + 45 + 3 + 470 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (271345347071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18134218 + ... + 18149174.

Almost surely, 2^271345347072 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 271345347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407401353216).

271345347072 is an abundant number, since it is smaller than the sum of its proper divisors (543457359360).

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

271345347072 is a wasteful number, since it uses less digits than its factorization.

271345347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15139 (or 15120 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 271345347072 in words is "two hundred seventy-one billion, three hundred forty-five million, three hundred forty-seven thousand, seventy-two".