11243949600 has 864 divisors, whose sum is σ = 44320288320. Its totient is φ = 2456616960.

The previous prime is 11243949589. The next prime is 11243949631. The reversal of 11243949600 is 694934211.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 143 ways as a sum of consecutive naturals, for example, 261487179 + ... + 261487221.

It is an arithmetic number, because the mean of its divisors is an integer number (51296630).

Almost surely, 2^11243949600 is an apocalyptic number.

11243949600 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 11243949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160144160).

11243949600 is an abundant number, since it is smaller than the sum of its proper divisors (33076338720).

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

11243949600 is a wasteful number, since it uses less digits than its factorization.

11243949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 11243949600 in words is "eleven billion, two hundred forty-three million, nine hundred forty-nine thousand, six hundred".