11743076648160 has 1728 divisors, whose sum is σ = 49974219509760. Its totient is φ = 2484166164480.

The previous prime is 11743076648159. The next prime is 11743076648203. The reversal of 11743076648160 is 6184667034711.

11743076648160 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 30 + 76 + 6 + 481 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11743076648097 and 11743076648106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5479736049 + ... + 5479738191.

It is an arithmetic number, because the mean of its divisors is an integer number (28920265920).

Almost surely, 2^{11743076648160} is an apocalyptic number.

11743076648160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11743076648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987109754880).

11743076648160 is an abundant number, since it is smaller than the sum of its proper divisors (38231142861600).

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

11743076648160 is a wasteful number, since it uses less digits than its factorization.

11743076648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 11743076648160 in words is "eleven trillion, seven hundred forty-three billion, seventy-six million, six hundred forty-eight thousand, one hundred sixty".