306144466016101 has 2 divisors, whose sum is σ = 306144466016102. Its totient is φ = 306144466016100.

The previous prime is 306144466016087. The next prime is 306144466016107. The reversal of 306144466016101 is 101610664441603.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223803814085476 + 82340651930625 = 14960074^2 + 9074175^2 .

It is an emirp because it is prime and its reverse (101610664441603) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 306144466016101 - 2⁵ = 306144466016069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (306144466016107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153072233008050 + 153072233008051.

It is an arithmetic number, because the mean of its divisors is an integer number (153072233008051).

Almost surely, 2^{306144466016101} is an apocalyptic number.

It is an amenable number.

306144466016101 is a deficient number, since it is larger than the sum of its proper divisors (1).

306144466016101 is an equidigital number, since it uses as much as digits as its factorization.

306144466016101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 306144466016101 in words is "three hundred six trillion, one hundred forty-four billion, four hundred sixty-six million, sixteen thousand, one hundred one".