11329843308000 has 1152 divisors, whose sum is σ = 44877346375680. Its totient is φ = 2488513843200.

The previous prime is 11329843307977. The next prime is 11329843308001. The reversal of 11329843308000 is 80334892311.

11329843308000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329843308001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3870802537 + ... + 3870805463.

It is an arithmetic number, because the mean of its divisors is an integer number (38956029840).

Almost surely, 2^{11329843308000} is an apocalyptic number.

11329843308000 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 11329843308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438673187840).

11329843308000 is an abundant number, since it is smaller than the sum of its proper divisors (33547503067680).

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

11329843308000 is a wasteful number, since it uses less digits than its factorization.

11329843308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 11329843308000 in words is "eleven trillion, three hundred twenty-nine billion, eight hundred forty-three million, three hundred eight thousand".