11684692809216 has 480 divisors, whose sum is σ = 40627530028800. Its totient is φ = 3158195650560.

The previous prime is 11684692809199. The next prime is 11684692809217. The reversal of 11684692809216 is 61290829648611.

11684692809216 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 469 + 2 + 80 + 92 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11684692809217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 434507131 + ... + 434534021.

It is an arithmetic number, because the mean of its divisors is an integer number (84640687560).

Almost surely, 2^{11684692809216} is an apocalyptic number.

11684692809216 is a gapful number since it is divisible by the number (16) 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 11684692809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313765014400).

11684692809216 is an abundant number, since it is smaller than the sum of its proper divisors (28942837219584).

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

11684692809216 is a wasteful number, since it uses less digits than its factorization.

11684692809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27650 (or 27631 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 11684692809216 in words is "eleven trillion, six hundred eighty-four billion, six hundred ninety-two million, eight hundred nine thousand, two hundred sixteen".