32385241681 has 27 divisors (see below), whose sum is σ = 35673596721. Its totient is φ = 29386584864.

The previous prime is 32385241643. The next prime is 32385241697. The reversal of 32385241681 is 18614258323.

The square root of 32385241681 is 179959.

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 1132659025 + 31252582656 = 33655^2 + 176784^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32385241681 is a prime.

It is a super-2 number, since 2×32385241681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32385241381) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 255001840 + ... + 255001966.

It is an arithmetic number, because the mean of its divisors is an integer number (1321244323).

Almost surely, 2^32385241681 is an apocalyptic number.

32385241681 is the 179959-th square number.

32385241681 is the 89980-th centered octagonal number.

It is an amenable number.

32385241681 is a deficient number, since it is larger than the sum of its proper divisors (3288355040).

32385241681 is an equidigital number, since it uses as much as digits as its factorization.

32385241681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The spelling of 32385241681 in words is "thirty-two billion, three hundred eighty-five million, two hundred forty-one thousand, six hundred eighty-one".