93318641361 has 27 divisors (see below), whose sum is σ = 148177559803. Its totient is φ = 56550642720.

The previous prime is 93318641231. The next prime is 93318641363. The reversal of 93318641361 is 16314681339.

It is a happy number.

The square root of 93318641361 is 305481.

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., 5735790225 + 87582851136 = 75735^2 + 295944^2 .

It is not a de Polignac number, because 93318641361 - 2¹¹ = 93318639313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93318641363) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10076245 + ... + 10085501.

Almost surely, 2^93318641361 is an apocalyptic number.

93318641361 is the 305481-st square number.

93318641361 is the 152741-st centered octagonal number.

It is an amenable number.

93318641361 is a deficient number, since it is larger than the sum of its proper divisors (54858918442).

93318641361 is an frugal number, since it uses more digits than its factorization.

93318641361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18542 (or 9271 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 93318641361 in words is "ninety-three billion, three hundred eighteen million, six hundred forty-one thousand, three hundred sixty-one".