327312140544 has 405 divisors, whose sum is σ = 1018232722507. Its totient is φ = 104572919808.

The previous prime is 327312140537. The next prime is 327312140669. The reversal of 327312140544 is 445041213723.

The square root of 327312140544 is 572112.

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

327312140544 is a `hidden beast` number, since 3 + 2 + 73 + 1 + 2 + 1 + 40 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4106246400 + 323205894144 = 64080^2 + 568512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 327312140499 and 327312140508.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2389139644 + ... + 2389139780.

Almost surely, 2^327312140544 is an apocalyptic number.

327312140544 is the 572112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327312140544

327312140544 is an abundant number, since it is smaller than the sum of its proper divisors (690920581963).

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

327312140544 is an frugal number, since it uses more digits than its factorization.

327312140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 327312140544 by its sum of digits (36), we get a square (11783237059584 = 3432672²).

327312140544 divided by its sum of digits (36) gives a square (9092003904 = 95352²).

It can be divided in two parts, 327312 and 140544, that added together give a square (467856 = 684²).

The spelling of 327312140544 in words is "three hundred twenty-seven billion, three hundred twelve million, one hundred forty thousand, five hundred forty-four".