327983581840489 has 9 divisors (see below), whose sum is σ = 329808953442501. Its totient is φ = 326168257995360.

The previous prime is 327983581840487. The next prime is 327983581840591. The reversal of 327983581840489 is 984048185389723.

The square root of 327983581840489 is 18110317.

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

It can be written as a sum of positive squares in 4 ways, for example, as 136269318168025 + 191714263672464 = 11673445^2 + 13846092^2 .

It is not a de Polignac number, because 327983581840489 - 2¹ = 327983581840487 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327983581840487) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3277917349 + ... + 3278017405.

It is an arithmetic number, because the mean of its divisors is an integer number (36645439271389).

Almost surely, 2^{327983581840489} is an apocalyptic number.

327983581840489 is the 18110317-th square number.

327983581840489 is the 9055159-th centered octagonal number.

It is an amenable number.

327983581840489 is a deficient number, since it is larger than the sum of its proper divisors (1825371602012).

327983581840489 is an frugal number, since it uses more digits than its factorization.

327983581840489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200476 (or 100238 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 79.

The spelling of 327983581840489 in words is "three hundred twenty-seven trillion, nine hundred eighty-three billion, five hundred eighty-one million, eight hundred forty thousand, four hundred eighty-nine".