271144608598016 has 48 divisors (see below), whose sum is σ = 543867097557420. Its totient is φ = 135144631091200.

The previous prime is 271144608597991. The next prime is 271144608598051. The reversal of 271144608598016 is 610895806441172.

It can be written as a sum of positive squares in 2 ways, for example, as 261459068732416 + 9685539865600 = 16169696^2 + 3112160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 271144608598016.

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 3 ways as a sum of consecutive naturals, for example, 208175435 + ... + 209473866.

Almost surely, 2^{271144608598016} is an apocalyptic number.

It is an amenable number.

271144608598016 is an abundant number, since it is smaller than the sum of its proper divisors (272722488959404).

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

271144608598016 is an equidigital number, since it uses as much as digits as its factorization.

271144608598016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417649640 (or 417649620 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 62.

The spelling of 271144608598016 in words is "two hundred seventy-one trillion, one hundred forty-four billion, six hundred eight million, five hundred ninety-eight thousand, sixteen".