314214303412413 has 24 divisors (see below), whose sum is σ = 455754846226680. Its totient is φ = 208604038717440.

The previous prime is 314214303412411. The next prime is 314214303412507.

314214303412413 is a `hidden beast` number, since 3 + 1 + 4 + 214 + 303 + 4 + 124 + 13 = 666.

314214303412413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 82410846553764 + 231803456858649 = 9078042^2 + 15225093^2 .

It is not a de Polignac number, because 314214303412413 - 2¹ = 314214303412411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314214303412411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157058845 + ... + 159046877.

It is an arithmetic number, because the mean of its divisors is an integer number (18989785259445).

Almost surely, 2^{314214303412413} is an apocalyptic number.

It is an amenable number.

314214303412413 is a deficient number, since it is larger than the sum of its proper divisors (141540542814267).

314214303412413 is a wasteful number, since it uses less digits than its factorization.

314214303412413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061149 (or 2061146 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 31421430 and 3412413, that added together give a palindrome (34833843).

The spelling of 314214303412413 in words is "three hundred fourteen trillion, two hundred fourteen billion, three hundred three million, four hundred twelve thousand, four hundred thirteen".