11657405742 has 32 divisors (see below), whose sum is σ = 23643110400. Its totient is φ = 3831223968.

The previous prime is 11657405741. The next prime is 11657405783. The reversal of 11657405742 is 24750475611.

It is a super-3 number, since 3×11657405742³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11657405694 and 11657405703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657405741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327684 + ... + 361512.

It is an arithmetic number, because the mean of its divisors is an integer number (738847200).

Almost surely, 2^11657405742 is an apocalyptic number.

11657405742 is an abundant number, since it is smaller than the sum of its proper divisors (11985704658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11657405742 is a wasteful number, since it uses less digits than its factorization.

11657405742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34640.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 11657405742 in words is "eleven billion, six hundred fifty-seven million, four hundred five thousand, seven hundred forty-two".