314032343230413 has 72 divisors (see below), whose sum is σ = 467039221608960. Its totient is φ = 203327211657600.

The previous prime is 314032343230391. The next prime is 314032343230453.

314032343230413 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 3 + 2 + 3 + 4 + 3 + 230 + 413 = 666.

314032343230413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314032343230413 - 2⁸ = 314032343230157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314032343230453) 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, 27665604688 + ... + 27665616038.

It is an arithmetic number, because the mean of its divisors is an integer number (6486655855680).

Almost surely, 2^{314032343230413} is an apocalyptic number.

It is an amenable number.

314032343230413 is a deficient number, since it is larger than the sum of its proper divisors (153006878378547).

314032343230413 is a wasteful number, since it uses less digits than its factorization.

314032343230413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307 (or 15267 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 314032343230413 in words is "three hundred fourteen trillion, thirty-two billion, three hundred forty-three million, two hundred thirty thousand, four hundred thirteen".