11345443200 has 1440 divisors, whose sum is σ = 53212286160. Its totient is φ = 2329067520.

The previous prime is 11345443189. The next prime is 11345443201. The reversal of 11345443200 is 234454311.

It is a happy number.

11345443200 is a `hidden beast` number, since 1 + 1 + 3 + 454 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345443201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 306633582 + ... + 306633618.

Almost surely, 2^11345443200 is an apocalyptic number.

11345443200 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 11345443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26606143080).

11345443200 is an abundant number, since it is smaller than the sum of its proper divisors (41866842960).

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

11345443200 is a wasteful number, since it uses less digits than its factorization.

11345443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 11345443200 its reverse (234454311), we get a palindrome (11579897511).

The spelling of 11345443200 in words is "eleven billion, three hundred forty-five million, four hundred forty-three thousand, two hundred".