413315323513314 has 32 divisors (see below), whose sum is σ = 835937524978560. Its totient is φ = 136220698154112.

The previous prime is 413315323513271. The next prime is 413315323513429.

413315323513314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14961987 + ... + 32411289.

It is an arithmetic number, because the mean of its divisors is an integer number (26123047655580).

Almost surely, 2^{413315323513314} is an apocalyptic number.

413315323513314 is an abundant number, since it is smaller than the sum of its proper divisors (422622201465246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413315323513314 is a wasteful number, since it uses less digits than its factorization.

413315323513314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17493754.

The product of its digits is 583200, while the sum is 42.

The spelling of 413315323513314 in words is "four hundred thirteen trillion, three hundred fifteen billion, three hundred twenty-three million, five hundred thirteen thousand, three hundred fourteen".