311410361993329 has 9 divisors (see below), whose sum is σ = 312301290572299. Its totient is φ = 310521967983040.

The previous prime is 311410361993323. The next prime is 311410361993369. The reversal of 311410361993329 is 923399163014113.

The square root of 311410361993329 is 17646823.

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., 126516941600625 + 184893420392704 = 11247975^2 + 13597552^2 .

It is not a de Polignac number, because 311410361993329 - 2¹⁹ = 311410361469041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311410361993329.

It is not an unprimeable number, because it can be changed into a prime (311410361993323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6229303524 + ... + 6229353514.

Almost surely, 2^{311410361993329} is an apocalyptic number.

311410361993329 is the 17646823-rd square number.

311410361993329 is the 8823412-nd centered octagonal number.

It is an amenable number.

311410361993329 is a deficient number, since it is larger than the sum of its proper divisors (890928578970).

311410361993329 is an frugal number, since it uses more digits than its factorization.

311410361993329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100688 (or 50344 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 55.

The spelling of 311410361993329 in words is "three hundred eleven trillion, four hundred ten billion, three hundred sixty-one million, nine hundred ninety-three thousand, three hundred twenty-nine".