32930164187361 has 135 divisors (see below), whose sum is σ = 58007140722531. Its totient is φ = 18562930154496.

The previous prime is 32930164187351. The next prime is 32930164187381. The reversal of 32930164187361 is 16378146103923.

The square root of 32930164187361 is 5738481.

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

32930164187361 is a `hidden beast` number, since 3 + 2 + 93 + 0 + 16 + 4 + 187 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26024537030625 + 6905627156736 = 5101425^2 + 2627856^2 .

It is not a de Polignac number, because 32930164187361 - 2⁷ = 32930164187233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32930164187298 and 32930164187307.

It is not an unprimeable number, because it can be changed into a prime (32930164187351) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28560419361 + ... + 28560420513.

Almost surely, 2^{32930164187361} is an apocalyptic number.

32930164187361 is the 5738481-st square number.

32930164187361 is the 2869241-st centered octagonal number.

It is an amenable number.

32930164187361 is a deficient number, since it is larger than the sum of its proper divisors (25076976535170).

32930164187361 is an frugal number, since it uses more digits than its factorization.

32930164187361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 32930164187361 in words is "thirty-two trillion, nine hundred thirty billion, one hundred sixty-four million, one hundred eighty-seven thousand, three hundred sixty-one".