11323434400 has 144 divisors (see below), whose sum is σ = 28095076800. Its totient is φ = 4455925760.

The previous prime is 11323434383. The next prime is 11323434413. The reversal of 11323434400 is 443432311.

11323434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11323434400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 25560579 + ... + 25561021.

It is an arithmetic number, because the mean of its divisors is an integer number (195104700).

Almost surely, 2^11323434400 is an apocalyptic number.

11323434400 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 11323434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047538400).

11323434400 is an abundant number, since it is smaller than the sum of its proper divisors (16771642400).

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

11323434400 is a wasteful number, since it uses less digits than its factorization.

11323434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 11323434400 its reverse (443432311), we get a palindrome (11766866711).

The spelling of 11323434400 in words is "eleven billion, three hundred twenty-three million, four hundred thirty-four thousand, four hundred".