11733678684000 has 3072 divisors, whose sum is σ = 57146690764800. Its totient is φ = 2268601344000.

The previous prime is 11733678683977. The next prime is 11733678684053. The reversal of 11733678684000 is 48687633711.

11733678684000 is a `hidden beast` number, since 1 + 173 + 3 + 6 + 7 + 8 + 68 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5788690987 + ... + 5788693013.

It is an arithmetic number, because the mean of its divisors is an integer number (18602438400).

Almost surely, 2^{11733678684000} is an apocalyptic number.

11733678684000 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 11733678684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573345382400).

11733678684000 is an abundant number, since it is smaller than the sum of its proper divisors (45413012080800).

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

11733678684000 is a wasteful number, since it uses less digits than its factorization.

11733678684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2107 counting only the distinct ones).

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

The spelling of 11733678684000 in words is "eleven trillion, seven hundred thirty-three billion, six hundred seventy-eight million, six hundred eighty-four thousand".