314164606461413 has 2 divisors, whose sum is σ = 314164606461414. Its totient is φ = 314164606461412.

The previous prime is 314164606461403. The next prime is 314164606461437.

It is a happy number.

314164606461413 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212367141043684 + 101797465417729 = 14572822^2 + 10089473^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 314164606461413 - 2¹⁴ = 314164606445029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314164606461403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157082303230706 + 157082303230707.

It is an arithmetic number, because the mean of its divisors is an integer number (157082303230707).

Almost surely, 2^{314164606461413} is an apocalyptic number.

It is an amenable number.

314164606461413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314164606461413 is an equidigital number, since it uses as much as digits as its factorization.

314164606461413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2985984, while the sum is 50.

It can be divided in two parts, 31416460 and 6461413, that added together give a palindrome (37877873).

The spelling of 314164606461413 in words is "three hundred fourteen trillion, one hundred sixty-four billion, six hundred six million, four hundred sixty-one thousand, four hundred thirteen".