306144416223001 has 2 divisors, whose sum is σ = 306144416223002. Its totient is φ = 306144416223000.

The previous prime is 306144416222993. The next prime is 306144416223017. The reversal of 306144416223001 is 100322614441603.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247848503672025 + 58295912550976 = 15743205^2 + 7635176^2 .

It is a cyclic number.

It is not a de Polignac number, because 306144416223001 - 2³ = 306144416222993 is a prime.

It is a super-2 number, since 2×306144416223001² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (306144416233001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153072208111500 + 153072208111501.

It is an arithmetic number, because the mean of its divisors is an integer number (153072208111501).

Almost surely, 2^{306144416223001} is an apocalyptic number.

It is an amenable number.

306144416223001 is a deficient number, since it is larger than the sum of its proper divisors (1).

306144416223001 is an equidigital number, since it uses as much as digits as its factorization.

306144416223001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 306144416223001 in words is "three hundred six trillion, one hundred forty-four billion, four hundred sixteen million, two hundred twenty-three thousand, one".