11742346705677 has 32 divisors (see below), whose sum is σ = 18087882100992. Its totient is φ = 6637262790144.

The previous prime is 11742346705667. The next prime is 11742346705723. The reversal of 11742346705677 is 77650764324711.

It is not a de Polignac number, because 11742346705677 - 2¹⁹ = 11742346181389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11742346705677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742346705637) 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, 7487688 + ... + 8919089.

It is an arithmetic number, because the mean of its divisors is an integer number (565246315656).

Almost surely, 2^{11742346705677} is an apocalyptic number.

It is an amenable number.

11742346705677 is a deficient number, since it is larger than the sum of its proper divisors (6345535395315).

11742346705677 is a wasteful number, since it uses less digits than its factorization.

11742346705677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16407157.

The product of its (nonzero) digits is 41489280, while the sum is 60.

The spelling of 11742346705677 in words is "eleven trillion, seven hundred forty-two billion, three hundred forty-six million, seven hundred five thousand, six hundred seventy-seven".