11742456704 has 64 divisors (see below), whose sum is σ = 25673155200. Its totient is φ = 5305413120.

The previous prime is 11742456611. The next prime is 11742456757. The reversal of 11742456704 is 40765424711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 210167 + ... + 260105.

It is an arithmetic number, because the mean of its divisors is an integer number (401143050).

Almost surely, 2^11742456704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11742456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12836577600).

11742456704 is an abundant number, since it is smaller than the sum of its proper divisors (13930698496).

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

11742456704 is a wasteful number, since it uses less digits than its factorization.

11742456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50131 (or 50119 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 11742456704 in words is "eleven billion, seven hundred forty-two million, four hundred fifty-six thousand, seven hundred four".