11657706041817 has 48 divisors (see below), whose sum is σ = 18977877434880. Its totient is φ = 6831743846400.

The previous prime is 11657706041803. The next prime is 11657706041827. The reversal of 11657706041817 is 71814060775611.

11657706041817 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 7 + 0 + 604 + 18 + 17 = 666.

It is not a de Polignac number, because 11657706041817 - 2¹⁰ = 11657706040793 is a prime.

It is a super-3 number, since 3×11657706041817³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11657706041827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174359 + ... + 5295587.

It is an arithmetic number, because the mean of its divisors is an integer number (395372446560).

Almost surely, 2^{11657706041817} is an apocalyptic number.

It is an amenable number.

11657706041817 is a deficient number, since it is larger than the sum of its proper divisors (7320171393063).

11657706041817 is a wasteful number, since it uses less digits than its factorization.

11657706041817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122494 (or 3122491 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 11657706041817 in words is "eleven trillion, six hundred fifty-seven billion, seven hundred six million, forty-one thousand, eight hundred seventeen".