32784430641361 has 27 divisors (see below), whose sum is σ = 38398314683547. Its totient is φ = 27909688413600.

The previous prime is 32784430641349. The next prime is 32784430641379. The reversal of 32784430641361 is 16314603448723.

The square root of 32784430641361 is 5725769.

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

It can be written as a sum of positive squares in only one way, i.e., 2666901294225 + 30117529347136 = 1633065^2 + 5487944^2 .

It is not a de Polignac number, because 32784430641361 - 2⁵ = 32784430641329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32784430641299 and 32784430641308.

It is not an unprimeable number, because it can be changed into a prime (32784430641341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6052135125 + ... + 6052140541.

Almost surely, 2^{32784430641361} is an apocalyptic number.

32784430641361 is the 5725769-th square number.

32784430641361 is the 2862885-th centered octagonal number.

It is an amenable number.

32784430641361 is a deficient number, since it is larger than the sum of its proper divisors (5613884042186).

32784430641361 is an frugal number, since it uses more digits than its factorization.

32784430641361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 32784430641361 in words is "thirty-two trillion, seven hundred eighty-four billion, four hundred thirty million, six hundred forty-one thousand, three hundred sixty-one".