32239490948289 has 225 divisors, whose sum is σ = 53497035044607. Its totient is φ = 19348385718528.

The previous prime is 32239490948261. The next prime is 32239490948293. The reversal of 32239490948289 is 98284909493223.

The square root of 32239490948289 is 5677983.

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

32239490948289 is a `hidden beast` number, since 3 + 2 + 23 + 9 + 49 + 0 + 9 + 482 + 89 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2140091039025 + 30099399909264 = 1462905^2 + 5486292^2 .

It is not a de Polignac number, because 32239490948289 - 2⁵ = 32239490948257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32239490948389) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 546432049942 + ... + 546432050000.

Almost surely, 2^{32239490948289} is an apocalyptic number.

32239490948289 is the 5677983-rd square number.

32239490948289 is the 2838992-nd centered octagonal number.

It is an amenable number.

32239490948289 is a deficient number, since it is larger than the sum of its proper divisors (21257544096318).

32239490948289 is an frugal number, since it uses more digits than its factorization.

32239490948289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 32239490948289 in words is "thirty-two trillion, two hundred thirty-nine billion, four hundred ninety million, nine hundred forty-eight thousand, two hundred eighty-nine".