11334434300200 has 384 divisors, whose sum is σ = 29765594880000. Its totient is φ = 3978355558400.

The previous prime is 11334434300197. The next prime is 11334434300201. The reversal of 11334434300200 is 200343443311.

It is not an unprimeable number, because it can be changed into a prime (11334434300201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9002727171 + ... + 9002728429.

It is an arithmetic number, because the mean of its divisors is an integer number (77514570000).

Almost surely, 2^{11334434300200} is an apocalyptic number.

11334434300200 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 11334434300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882797440000).

11334434300200 is an abundant number, since it is smaller than the sum of its proper divisors (18431160579800).

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

11334434300200 is a wasteful number, since it uses less digits than its factorization.

11334434300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 11334434300200 its reverse (200343443311), we get a palindrome (11534777743511).

The spelling of 11334434300200 in words is "eleven trillion, three hundred thirty-four billion, four hundred thirty-four million, three hundred thousand, two hundred".