814006711071 has 48 divisors (see below), whose sum is σ = 1196563164160. Its totient is φ = 533190600000.

The previous prime is 814006711051. The next prime is 814006711183. The reversal of 814006711071 is 170117600418.

814006711071 is a `hidden beast` number, since 81 + 400 + 6 + 71 + 107 + 1 = 666.

It is not a de Polignac number, because 814006711071 - 2⁵ = 814006711039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814006711051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51184221 + ... + 51200121.

Almost surely, 2^814006711071 is an apocalyptic number.

814006711071 is a deficient number, since it is larger than the sum of its proper divisors (382556453089).

814006711071 is a wasteful number, since it uses less digits than its factorization.

814006711071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16468 (or 16465 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 814006711071 in words is "eight hundred fourteen billion, six million, seven hundred eleven thousand, seventy-one".