96838805730241 has 81 divisors (see below), whose sum is σ = 108225436716579. Its totient is φ = 86629394947200.

The previous prime is 96838805730239. The next prime is 96838805730257. The reversal of 96838805730241 is 14203750883869.

The square root of 96838805730241 is 9840671.

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., 75393533873025 + 21445271857216 = 8682945^2 + 4630904^2 .

It is not a de Polignac number, because 96838805730241 - 2¹ = 96838805730239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96838805730211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 368208386676 + ... + 368208386938.

It is a 1-persistent number, because it is pandigital, but 2⋅96838805730241 = 193677611460482 is not.

Almost surely, 2^{96838805730241} is an apocalyptic number.

96838805730241 is the 9840671-st square number.

96838805730241 is the 4920336-th centered octagonal number.

It is an amenable number.

96838805730241 is a deficient number, since it is larger than the sum of its proper divisors (11386630986338).

96838805730241 is an frugal number, since it uses more digits than its factorization.

96838805730241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 96838805730241 in words is "ninety-six trillion, eight hundred thirty-eight billion, eight hundred five million, seven hundred thirty thousand, two hundred forty-one".