814116781071 has 64 divisors (see below), whose sum is σ = 1346718912000. Its totient is φ = 481795050240.

The previous prime is 814116781039. The next prime is 814116781073. The reversal of 814116781071 is 170187611418.

814116781071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 814116781071 - 2⁵ = 814116781039 is a prime.

It is a super-2 number, since 2×814116781071² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814116781073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63452685 + ... + 63465513.

It is an arithmetic number, because the mean of its divisors is an integer number (21042483000).

Almost surely, 2^814116781071 is an apocalyptic number.

814116781071 is a deficient number, since it is larger than the sum of its proper divisors (532602130929).

814116781071 is a wasteful number, since it uses less digits than its factorization.

814116781071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17861 (or 17855 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

The spelling of 814116781071 in words is "eight hundred fourteen billion, one hundred sixteen million, seven hundred eighty-one thousand, seventy-one".