311523608449 has 9 divisors (see below), whose sum is σ = 317542467459. Its totient is φ = 305616781080.

The previous prime is 311523608411. The next prime is 311523608507. The reversal of 311523608449 is 944806325113.

It is a happy number.

The square root of 311523608449 is 558143.

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., 224576471025 + 86947137424 = 473895^2 + 294868^2 .

It is not a de Polignac number, because 311523608449 - 2¹⁹ = 311523084161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311523608399 and 311523608408.

It is not an unprimeable number, because it can be changed into a prime (311523608749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29576314 + ... + 29586844.

Almost surely, 2^311523608449 is an apocalyptic number.

311523608449 is the 558143-rd square number.

311523608449 is the 279072-nd centered octagonal number.

It is an amenable number.

311523608449 is a deficient number, since it is larger than the sum of its proper divisors (6018859010).

311523608449 is an frugal number, since it uses more digits than its factorization.

311523608449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21168 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 311523608449 in words is "three hundred eleven billion, five hundred twenty-three million, six hundred eight thousand, four hundred forty-nine".