314446585644413 has 32 divisors (see below), whose sum is σ = 327166748701056. Its totient is φ = 302040602293248.

The previous prime is 314446585644407. The next prime is 314446585644419.

It is a happy number.

314446585644413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (314446585644407) and next prime (314446585644419).

It is a cyclic number.

It is not a de Polignac number, because 314446585644413 - 2¹⁶ = 314446585578877 is a prime.

It is a super-2 number, since 2×314446585644413² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314446585644419) 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, 9818155706 + ... + 9818187732.

It is an arithmetic number, because the mean of its divisors is an integer number (10223960896908).

Almost surely, 2^{314446585644413} is an apocalyptic number.

It is an amenable number.

314446585644413 is a deficient number, since it is larger than the sum of its proper divisors (12720163056643).

314446585644413 is a wasteful number, since it uses less digits than its factorization.

314446585644413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50813.

The product of its digits is 265420800, while the sum is 62.

The spelling of 314446585644413 in words is "three hundred fourteen trillion, four hundred forty-six billion, five hundred eighty-five million, six hundred forty-four thousand, four hundred thirteen".