327684540039481 has 27 divisors (see below), whose sum is σ = 349257344457357. Its totient is φ = 307381650808320.

The previous prime is 327684540039427. The next prime is 327684540039497. The reversal of 327684540039481 is 184930045486723.

The square root of 327684540039481 is 18102059.

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 156222276229881 + 171462263809600 = 12498891^2 + 13094360^2 .

It is not a de Polignac number, because 327684540039481 - 2¹⁵ = 327684540006713 is a prime.

It is a super-2 number, since 2×327684540039481² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327684540039281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101860284385 + ... + 101860287601.

It is a 1-persistent number, because it is pandigital, but 2⋅327684540039481 = 655369080078962 is not.

Almost surely, 2^{327684540039481} is an apocalyptic number.

327684540039481 is the 18102059-th square number.

327684540039481 is the 9051030-th centered octagonal number.

It is an amenable number.

327684540039481 is a deficient number, since it is larger than the sum of its proper divisors (21572804417876).

327684540039481 is an frugal number, since it uses more digits than its factorization.

327684540039481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 327684540039481 in words is "three hundred twenty-seven trillion, six hundred eighty-four billion, five hundred forty million, thirty-nine thousand, four hundred eighty-one".