314334464433413 has 32 divisors (see below), whose sum is σ = 340597960300800. Its totient is φ = 289394842023936.

The previous prime is 314334464433403. The next prime is 314334464433443.

It is a happy number.

314334464433413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314334464433413 - 2¹² = 314334464429317 is a prime.

It is a super-2 number, since 2×314334464433413² (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 (314334464433403) 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, 1990553 + ... + 25152161.

It is an arithmetic number, because the mean of its divisors is an integer number (10643686259400).

Almost surely, 2^{314334464433413} is an apocalyptic number.

It is an amenable number.

314334464433413 is a deficient number, since it is larger than the sum of its proper divisors (26263495867387).

314334464433413 is a wasteful number, since it uses less digits than its factorization.

314334464433413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23161901.

The product of its digits is 17915904, while the sum is 50.

The spelling of 314334464433413 in words is "three hundred fourteen trillion, three hundred thirty-four billion, four hundred sixty-four million, four hundred thirty-three thousand, four hundred thirteen".