314563343365413 has 32 divisors (see below), whose sum is σ = 478619020494720. Its totient is φ = 204039329598720.

The previous prime is 314563343365391. The next prime is 314563343365429.

It is a happy number.

314563343365413 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 63 + 3 + 4 + 3 + 36 + 541 + 3 = 666.

314563343365413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314563343365413 - 2¹² = 314563343361317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314563343365413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314563343365463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120089773 + ... + 122681213.

It is an arithmetic number, because the mean of its divisors is an integer number (14956844390460).

Almost surely, 2^{314563343365413} is an apocalyptic number.

It is an amenable number.

314563343365413 is a deficient number, since it is larger than the sum of its proper divisors (164055677129307).

314563343365413 is a wasteful number, since it uses less digits than its factorization.

314563343365413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712994 (or 2712988 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 314563343365413 in words is "three hundred fourteen trillion, five hundred sixty-three billion, three hundred forty-three million, three hundred sixty-five thousand, four hundred thirteen".