314364141463413 has 8 divisors (see below), whose sum is σ = 423302210287776. Its totient is φ = 207501083474000.

The previous prime is 314364141463391. The next prime is 314364141463417.

It is a happy number.

314364141463413 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314364141463413 - 2⁵ = 314364141463381 is a prime.

It is a super-2 number, since 2×314364141463413² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314364141463417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518752708383 + ... + 518752708988.

It is an arithmetic number, because the mean of its divisors is an integer number (52912776285972).

Almost surely, 2^{314364141463413} is an apocalyptic number.

It is an amenable number.

314364141463413 is a deficient number, since it is larger than the sum of its proper divisors (108938068824363).

314364141463413 is a wasteful number, since it uses less digits than its factorization.

314364141463413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037505417475.

The product of its digits is 2985984, while the sum is 48.

The spelling of 314364141463413 in words is "three hundred fourteen trillion, three hundred sixty-four billion, one hundred forty-one million, four hundred sixty-three thousand, four hundred thirteen".