306144245653601 has 2 divisors, whose sum is σ = 306144245653602. Its totient is φ = 306144245653600.

The previous prime is 306144245653583. The next prime is 306144245653621. The reversal of 306144245653601 is 106356542441603.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212879334448225 + 93264911205376 = 14590385^2 + 9657376^2 .

It is a cyclic number.

It is not a de Polignac number, because 306144245653601 - 2⁴² = 301746199142497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 306144245653601.

It is not a weakly prime, because it can be changed into another prime (306144245653621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153072122826800 + 153072122826801.

It is an arithmetic number, because the mean of its divisors is an integer number (153072122826801).

Almost surely, 2^{306144245653601} is an apocalyptic number.

It is an amenable number.

306144245653601 is a deficient number, since it is larger than the sum of its proper divisors (1).

306144245653601 is an equidigital number, since it uses as much as digits as its factorization.

306144245653601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 306144245653601 in words is "three hundred six trillion, one hundred forty-four billion, two hundred forty-five million, six hundred fifty-three thousand, six hundred one".