11684100169728 has 2268 divisors, whose sum is σ = 45438602800032. Its totient is φ = 2880558858240.

The previous prime is 11684100169727. The next prime is 11684100169829. The reversal of 11684100169728 is 82796100148611.

11684100169728 is a `hidden beast` number, since 1 + 1 + 68 + 410 + 0 + 169 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11684100169727) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 376906457073 + ... + 376906457103.

Almost surely, 2^{11684100169728} is an apocalyptic number.

11684100169728 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 11684100169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719301400016).

11684100169728 is an abundant number, since it is smaller than the sum of its proper divisors (33754502630304).

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

11684100169728 is a wasteful number, since it uses less digits than its factorization.

11684100169728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 11684100169728 in words is "eleven trillion, six hundred eighty-four billion, one hundred million, one hundred sixty-nine thousand, seven hundred twenty-eight".