11643304240000 has 320 divisors, whose sum is σ = 29753393741280. Its totient is φ = 4535424000000.

The previous prime is 11643304239991. The next prime is 11643304240027. The reversal of 11643304240000 is 4240334611.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 492868189 + ... + 492891811.

Almost surely, 2^{11643304240000} is an apocalyptic number.

11643304240000 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 11643304240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876696870640).

11643304240000 is an abundant number, since it is smaller than the sum of its proper divisors (18110089501280).

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

11643304240000 is an equidigital number, since it uses as much as digits as its factorization.

11643304240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23819 (or 23792 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11643304240000 its reverse (4240334611), we get a palindrome (11647544574611).

The spelling of 11643304240000 in words is "eleven trillion, six hundred forty-three billion, three hundred four million, two hundred forty thousand".