11684422400 has 648 divisors, whose sum is σ = 37056534480. Its totient is φ = 3622993920.

The previous prime is 11684422369. The next prime is 11684422403. The reversal of 11684422400 is 422448611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11684422403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220460774 + ... + 220460826.

It is an arithmetic number, because the mean of its divisors is an integer number (57186010).

Almost surely, 2^11684422400 is an apocalyptic number.

11684422400 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 11684422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528267240).

11684422400 is an abundant number, since it is smaller than the sum of its proper divisors (25372112080).

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

11684422400 is a wasteful number, since it uses less digits than its factorization.

11684422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 11684422400 in words is "eleven billion, six hundred eighty-four million, four hundred twenty-two thousand, four hundred".