11134343200 has 72 divisors (see below), whose sum is σ = 27218921940. Its totient is φ = 4447641600.

The previous prime is 11134343167. The next prime is 11134343221. The reversal of 11134343200 is 234343111.

It can be written as a sum of positive squares in 6 ways, for example, as 3653477136 + 7480866064 = 60444^2 + 86492^2 .

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, 599656 + ... + 617944.

Almost surely, 2^11134343200 is an apocalyptic number.

11134343200 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 11134343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609460970).

11134343200 is an abundant number, since it is smaller than the sum of its proper divisors (16084578740).

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

11134343200 is a wasteful number, since it uses less digits than its factorization.

11134343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19070 (or 19057 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11134343200 its reverse (234343111), we get a palindrome (11368686311).

The spelling of 11134343200 in words is "eleven billion, one hundred thirty-four million, three hundred forty-three thousand, two hundred".