314655323556413 has 12 divisors (see below), whose sum is σ = 387558657826812. Its totient is φ = 253839588750720.

The previous prime is 314655323556403. The next prime is 314655323556479.

314655323556413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 239176029910489 + 75479293645924 = 15465317^2 + 8687882^2 .

It is not a de Polignac number, because 314655323556413 - 2¹⁴ = 314655323540029 is a prime.

It is a super-3 number, since 3×314655323556413³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314655323556403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188868740798 + ... + 188868742463.

It is an arithmetic number, because the mean of its divisors is an integer number (32296554818901).

Almost surely, 2^{314655323556413} is an apocalyptic number.

It is an amenable number.

314655323556413 is a deficient number, since it is larger than the sum of its proper divisors (72903334270399).

314655323556413 is a wasteful number, since it uses less digits than its factorization.

314655323556413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377737483292 (or 377737483285 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 56.

The spelling of 314655323556413 in words is "three hundred fourteen trillion, six hundred fifty-five billion, three hundred twenty-three million, five hundred fifty-six thousand, four hundred thirteen".