10134767655117 has 48 divisors (see below), whose sum is σ = 16955087280768. Its totient is φ = 5713713371520.

The previous prime is 10134767655073. The next prime is 10134767655119. The reversal of 10134767655117 is 71155676743101.

10134767655117 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 7 + 6 + 76 + 551 + 17 = 666.

It is not a de Polignac number, because 10134767655117 - 2²⁰ = 10134766606541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134767655119) 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, 2510767 + ... + 5154947.

It is an arithmetic number, because the mean of its divisors is an integer number (353230985016).

Almost surely, 2^{10134767655117} is an apocalyptic number.

It is an amenable number.

10134767655117 is a deficient number, since it is larger than the sum of its proper divisors (6820319625651).

10134767655117 is a wasteful number, since it uses less digits than its factorization.

10134767655117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645010 (or 2645007 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 10134767655117 in words is "ten trillion, one hundred thirty-four billion, seven hundred sixty-seven million, six hundred fifty-five thousand, one hundred seventeen".