306144415316449 has 2 divisors, whose sum is σ = 306144415316450. Its totient is φ = 306144415316448.

The previous prime is 306144415316293. The next prime is 306144415316471. The reversal of 306144415316449 is 944613514441603.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306144134150625 + 281165824 = 17496975^2 + 16768^2 .

It is a cyclic number.

It is not a de Polignac number, because 306144415316449 - 2¹³ = 306144415308257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 306144415316449.

It is not a weakly prime, because it can be changed into another prime (306144415316479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153072207658224 + 153072207658225.

It is an arithmetic number, because the mean of its divisors is an integer number (153072207658225).

Almost surely, 2^{306144415316449} is an apocalyptic number.

It is an amenable number.

306144415316449 is a deficient number, since it is larger than the sum of its proper divisors (1).

306144415316449 is an equidigital number, since it uses as much as digits as its factorization.

306144415316449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 306144415316449 in words is "three hundred six trillion, one hundred forty-four billion, four hundred fifteen million, three hundred sixteen thousand, four hundred forty-nine".