814006711137 has 8 divisors (see below), whose sum is σ = 1085482230336. Its totient is φ = 542601166352.

The previous prime is 814006711051. The next prime is 814006711183. The reversal of 814006711137 is 731117600418.

814006711137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 814006711137 - 2²⁴ = 813989933921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814006711095 and 814006711104.

It is not an unprimeable number, because it can be changed into a prime (814006711537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17466453 + ... + 17512994.

It is an arithmetic number, because the mean of its divisors is an integer number (135685278792).

Almost surely, 2^814006711137 is an apocalyptic number.

It is an amenable number.

814006711137 is a deficient number, since it is larger than the sum of its proper divisors (271475519199).

814006711137 is a wasteful number, since it uses less digits than its factorization.

814006711137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34987207.

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 814006711137 in words is "eight hundred fourteen billion, six million, seven hundred eleven thousand, one hundred thirty-seven".