814364141463418 has 128 divisors (see below), whose sum is σ = 1611194562109440. Its totient is φ = 299936410963200.

The previous prime is 814364141463377. The next prime is 814364141463443.

It is a happy number.

814364141463418 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8620771 + ... + 41267977.

It is an arithmetic number, because the mean of its divisors is an integer number (12587457516480).

Almost surely, 2^{814364141463418} is an apocalyptic number.

814364141463418 is a deficient number, since it is larger than the sum of its proper divisors (796830420646022).

814364141463418 is a wasteful number, since it uses less digits than its factorization.

814364141463418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32647412.

The product of its digits is 21233664, while the sum is 58.

The spelling of 814364141463418 in words is "eight hundred fourteen trillion, three hundred sixty-four billion, one hundred forty-one million, four hundred sixty-three thousand, four hundred eighteen".