271536872464 has 135 divisors (see below), whose sum is σ = 626870975997. Its totient is φ = 113806492800.

The previous prime is 271536872423. The next prime is 271536872473. The reversal of 271536872464 is 464278635172.

The square root of 271536872464 is 521092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40168176400 + 231368696064 = 200420^2 + 481008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298064169 + ... + 298065079.

Almost surely, 2^271536872464 is an apocalyptic number.

271536872464 is the 521092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271536872464

271536872464 is an abundant number, since it is smaller than the sum of its proper divisors (355334103533).

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

271536872464 is an equidigital number, since it uses as much as digits as its factorization.

271536872464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 937 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 55.

The spelling of 271536872464 in words is "two hundred seventy-one billion, five hundred thirty-six million, eight hundred seventy-two thousand, four hundred sixty-four".