11657861013701 has 64 divisors (see below), whose sum is σ = 14063004864000. Its totient is φ = 9452821217280.

The previous prime is 11657861013691. The next prime is 11657861013709. The reversal of 11657861013701 is 10731016875611.

It is not a de Polignac number, because 11657861013701 - 2³⁴ = 11640681144517 is a prime.

It is a super-3 number, since 3×11657861013701³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657861013709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6210899975 + ... + 6210901851.

It is an arithmetic number, because the mean of its divisors is an integer number (219734451000).

Almost surely, 2^{11657861013701} is an apocalyptic number.

It is an amenable number.

11657861013701 is a deficient number, since it is larger than the sum of its proper divisors (2405143850299).

11657861013701 is a wasteful number, since it uses less digits than its factorization.

11657861013701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422.

The product of its (nonzero) digits is 211680, while the sum is 47.

The spelling of 11657861013701 in words is "eleven trillion, six hundred fifty-seven billion, eight hundred sixty-one million, thirteen thousand, seven hundred one".