93505689369 has 9 divisors (see below), whose sum is σ = 135065098623. Its totient is φ = 62336514672.

The previous prime is 93505689367. The next prime is 93505689427. The reversal of 93505689369 is 96398650539.

The square root of 93505689369 is 305787.

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

93505689369 is a `hidden beast` number, since 9 + 3 + 5 + 0 + 568 + 9 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83846730969 + 9658958400 = 289563^2 + 98280^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 93505689369 - 2¹ = 93505689367 is a prime.

It is a super-2 number, since 2×93505689369² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93505689367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 866397 + ... + 968325.

Almost surely, 2^93505689369 is an apocalyptic number.

93505689369 is the 305787-th square number.

93505689369 is the 152894-th centered octagonal number.

It is an amenable number.

93505689369 is a deficient number, since it is larger than the sum of its proper divisors (41559409254).

93505689369 is an frugal number, since it uses more digits than its factorization.

93505689369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203864 (or 101932 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 93505689369 in words is "ninety-three billion, five hundred five million, six hundred eighty-nine thousand, three hundred sixty-nine".