306144234364311 has 72 divisors (see below), whose sum is σ = 527383003309344. Its totient is φ = 170533179048960.

The previous prime is 306144234364277. The next prime is 306144234364363. The reversal of 306144234364311 is 113463432441603.

306144234364311 is a `hidden beast` number, since 3 + 0 + 6 + 1 + 44 + 234 + 3 + 64 + 311 = 666.

It is not a de Polignac number, because 306144234364311 - 2¹⁴ = 306144234347927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306144234364391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15190815 + ... + 29035311.

It is an arithmetic number, because the mean of its divisors is an integer number (7324763934852).

Almost surely, 2^{306144234364311} is an apocalyptic number.

306144234364311 is a deficient number, since it is larger than the sum of its proper divisors (221238768945033).

306144234364311 is a wasteful number, since it uses less digits than its factorization.

306144234364311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13845781 (or 13845771 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 306144234364311 in words is "three hundred six trillion, one hundred forty-four billion, two hundred thirty-four million, three hundred sixty-four thousand, three hundred eleven".