11657742384705 has 32 divisors (see below), whose sum is σ = 19408666950144. Its totient is φ = 5970361502976.

The previous prime is 11657742384683. The next prime is 11657742384707. The reversal of 11657742384705 is 50748324775611.

It is not a de Polignac number, because 11657742384705 - 2²⁸ = 11657473949249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11657742384707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155960794 + ... + 156035523.

It is an arithmetic number, because the mean of its divisors is an integer number (606520842192).

Almost surely, 2^{11657742384705} is an apocalyptic number.

11657742384705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11657742384705 is a deficient number, since it is larger than the sum of its proper divisors (7750924565439).

11657742384705 is a wasteful number, since it uses less digits than its factorization.

11657742384705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311996425.

The product of its (nonzero) digits is 39513600, while the sum is 60.

The spelling of 11657742384705 in words is "eleven trillion, six hundred fifty-seven billion, seven hundred forty-two million, three hundred eighty-four thousand, seven hundred five".