32563674318681 has 45 divisors (see below), whose sum is σ = 53469676822639. Its totient is φ = 19735217805600.

The previous prime is 32563674318649. The next prime is 32563674318709. The reversal of 32563674318681 is 18681347636523.

The square root of 32563674318681 is 5706459.

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

32563674318681 is a `hidden beast` number, since 3 + 2 + 5 + 63 + 67 + 431 + 8 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406609000281 + 32157065318400 = 637659^2 + 5670720^2 .

It is not a de Polignac number, because 32563674318681 - 2⁵ = 32563674318649 is a prime.

It is a super-2 number, since 2×32563674318681² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32563674318611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 564910621 + ... + 564968261.

Almost surely, 2^{32563674318681} is an apocalyptic number.

32563674318681 is the 5706459-th square number.

32563674318681 is the 2853230-th centered octagonal number.

It is an amenable number.

32563674318681 is a deficient number, since it is larger than the sum of its proper divisors (20906002503958).

32563674318681 is an frugal number, since it uses more digits than its factorization.

32563674318681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115316 (or 57655 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 32563674318681 in words is "thirty-two trillion, five hundred sixty-three billion, six hundred seventy-four million, three hundred eighteen thousand, six hundred eighty-one".