11743238800 has 120 divisors (see below), whose sum is σ = 30989712960. Its totient is φ = 4256524800.

The previous prime is 11743238797. The next prime is 11743238803. The reversal of 11743238800 is 883234711.

It is an interprime number because it is at equal distance from previous prime (11743238797) and next prime (11743238803).

It is a self number, because there is not a number n which added to its sum of digits gives 11743238800.

It is not an unprimeable number, because it can be changed into a prime (11743238803) 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 23 ways as a sum of consecutive naturals, for example, 141210 + ... + 208390.

It is an arithmetic number, because the mean of its divisors is an integer number (258247608).

Almost surely, 2^11743238800 is an apocalyptic number.

11743238800 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 11743238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494856480).

11743238800 is an abundant number, since it is smaller than the sum of its proper divisors (19246474160).

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

11743238800 is a wasteful number, since it uses less digits than its factorization.

11743238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67241 (or 67230 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 11743238800 in words is "eleven billion, seven hundred forty-three million, two hundred thirty-eight thousand, eight hundred".