11164231728 has 320 divisors, whose sum is σ = 35802708480. Its totient is φ = 3308884992.

The previous prime is 11164231723. The next prime is 11164231739. The reversal of 11164231728 is 82713246111.

11164231728 is a `hidden beast` number, since 1 + 1 + 1 + 642 + 3 + 1 + 7 + 2 + 8 = 666.

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 = 11164231692 and 11164231701.

It is not an unprimeable number, because it can be changed into a prime (11164231723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20043226 + ... + 20043782.

It is an arithmetic number, because the mean of its divisors is an integer number (111883464).

Almost surely, 2^11164231728 is an apocalyptic number.

11164231728 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 11164231728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901354240).

11164231728 is an abundant number, since it is smaller than the sum of its proper divisors (24638476752).

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

11164231728 is a wasteful number, since it uses less digits than its factorization.

11164231728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 701 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

Adding to 11164231728 its reverse (82713246111), we get a palindrome (93877477839).

The spelling of 11164231728 in words is "eleven billion, one hundred sixty-four million, two hundred thirty-one thousand, seven hundred twenty-eight".