11705113728 has 384 divisors, whose sum is σ = 42866928000. Its totient is φ = 3039160320.

The previous prime is 11705113727. The next prime is 11705113753. The reversal of 11705113728 is 82731150711.

11705113728 is a `hidden beast` number, since 1 + 1 + 70 + 511 + 3 + 72 + 8 = 666.

11705113728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11705113692 and 11705113701.

It is not an unprimeable number, because it can be changed into a prime (11705113727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4345150 + ... + 4347842.

It is an arithmetic number, because the mean of its divisors is an integer number (111632625).

Almost surely, 2^11705113728 is an apocalyptic number.

11705113728 is a gapful number since it is divisible by the number (18) 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 11705113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433464000).

11705113728 is an abundant number, since it is smaller than the sum of its proper divisors (31161814272).

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

11705113728 is a wasteful number, since it uses less digits than its factorization.

11705113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 11705113728 in words is "eleven billion, seven hundred five million, one hundred thirteen thousand, seven hundred twenty-eight".