73349430561 has 81 divisors (see below), whose sum is σ = 121038442707. Its totient is φ = 42769631520.

The previous prime is 73349430551. The next prime is 73349430569. The reversal of 73349430561 is 16503494337.

The square root of 73349430561 is 270831.

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

73349430561 is a `hidden beast` number, since 7 + 3 + 3 + 49 + 43 + 0 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38462662161 + 34886768400 = 196119^2 + 186780^2 .

It is not a de Polignac number, because 73349430561 - 2²⁵ = 73315876129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73349430569) 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, 259185126 + ... + 259185408.

Almost surely, 2^73349430561 is an apocalyptic number.

73349430561 is the 270831-st square number.

73349430561 is the 135416-th centered octagonal number.

It is an amenable number.

73349430561 is a deficient number, since it is larger than the sum of its proper divisors (47689012146).

73349430561 is a wasteful number, since it uses less digits than its factorization.

73349430561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 73349430561 in words is "seventy-three billion, three hundred forty-nine million, four hundred thirty thousand, five hundred sixty-one".