312816067172449 has 27 divisors (see below), whose sum is σ = 329590837472377. Its totient is φ = 296881442402048.

The previous prime is 312816067172393. The next prime is 312816067172527. The reversal of 312816067172449 is 944271760618213.

It is a happy number.

The square root of 312816067172449 is 17686607.

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

It can be written as a sum of positive squares in 4 ways, for example, as 86016442995025 + 226799624177424 = 9274505^2 + 15059868^2 .

It is not a de Polignac number, because 312816067172449 - 2⁴⁷ = 172078578817121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312816067172249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30261779409 + ... + 30261789745.

Almost surely, 2^{312816067172449} is an apocalyptic number.

312816067172449 is the 17686607-th square number.

312816067172449 is the 8843304-th centered octagonal number.

It is an amenable number.

312816067172449 is a deficient number, since it is larger than the sum of its proper divisors (16774770299928).

312816067172449 is an frugal number, since it uses more digits than its factorization.

312816067172449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20850 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 312816067172449 in words is "three hundred twelve trillion, eight hundred sixteen billion, sixty-seven million, one hundred seventy-two thousand, four hundred forty-nine".