11434300000 has 72 divisors (see below), whose sum is σ = 28137542832. Its totient is φ = 4573680000.

The previous prime is 11434299973. The next prime is 11434300037. The reversal of 11434300000 is 343411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42829 + ... + 157171.

It is an arithmetic number, because the mean of its divisors is an integer number (390799206).

Almost surely, 2^11434300000 is an apocalyptic number.

11434300000 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 11434300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14068771416).

11434300000 is an abundant number, since it is smaller than the sum of its proper divisors (16703242832).

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

11434300000 is an frugal number, since it uses more digits than its factorization.

11434300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114378 (or 114350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11434300000 its reverse (343411), we get a palindrome (11434643411).

The spelling of 11434300000 in words is "eleven billion, four hundred thirty-four million, three hundred thousand".