32677431361 has 9 divisors (see below), whose sum is σ = 33501479593. Its totient is φ = 31873190080.

The previous prime is 32677431349. The next prime is 32677431407. The reversal of 32677431361 is 16313477623.

It is a happy number.

The square root of 32677431361 is 180769.

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 25191720961 + 7485710400 = 158719^2 + 86520^2 .

It is not a de Polignac number, because 32677431361 - 2¹⁹ = 32676907073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32677431341) 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, 7409325 + ... + 7413733.

Almost surely, 2^32677431361 is an apocalyptic number.

32677431361 is the 180769-th square number.

32677431361 is the 90385-th centered octagonal number.

It is an amenable number.

32677431361 is a deficient number, since it is larger than the sum of its proper divisors (824048232).

32677431361 is an frugal number, since it uses more digits than its factorization.

32677431361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 4450 counting only the distinct ones).

The product of its digits is 381024, while the sum is 43.

The spelling of 32677431361 in words is "thirty-two billion, six hundred seventy-seven million, four hundred thirty-one thousand, three hundred sixty-one".