11723745000 has 320 divisors, whose sum is σ = 40952640960. Its totient is φ = 2771200000.

The previous prime is 11723744987. The next prime is 11723745053. The reversal of 11723745000 is 54732711.

11723745000 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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6764134 + ... + 6765866.

It is an arithmetic number, because the mean of its divisors is an integer number (127977003).

Almost surely, 2^11723745000 is an apocalyptic number.

11723745000 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 11723745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476320480).

11723745000 is an abundant number, since it is smaller than the sum of its proper divisors (29228895960).

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

11723745000 is a wasteful number, since it uses less digits than its factorization.

11723745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 11723745000 in words is "eleven billion, seven hundred twenty-three million, seven hundred forty-five thousand".