96633480834289 has 45 divisors (see below), whose sum is σ = 119763893967521. Its totient is φ = 77949815596800.

The previous prime is 96633480834287. The next prime is 96633480834337. The reversal of 96633480834289 is 98243808433669.

The square root of 96633480834289 is 9830233.

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 9950081640625 + 86683399193664 = 3154375^2 + 9310392^2 .

It is not a de Polignac number, because 96633480834289 - 2¹ = 96633480834287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96633480834287) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8188578189 + ... + 8188589989.

Almost surely, 2^{96633480834289} is an apocalyptic number.

96633480834289 is the 9830233-rd square number.

96633480834289 is the 4915117-th centered octagonal number.

It is an amenable number.

96633480834289 is a deficient number, since it is larger than the sum of its proper divisors (23130413133232).

96633480834289 is an frugal number, since it uses more digits than its factorization.

96633480834289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23664 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 73.

The spelling of 96633480834289 in words is "ninety-six trillion, six hundred thirty-three billion, four hundred eighty million, eight hundred thirty-four thousand, two hundred eighty-nine".