11448799200 has 504 divisors, whose sum is σ = 42675502968. Its totient is φ = 2997181440.

The previous prime is 11448799181. The next prime is 11448799223. The reversal of 11448799200 is 299784411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39074254 + ... + 39074546.

It is an arithmetic number, because the mean of its divisors is an integer number (84673617).

Almost surely, 2^11448799200 is an apocalyptic number.

11448799200 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 11448799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337751484).

11448799200 is an abundant number, since it is smaller than the sum of its proper divisors (31226703768).

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

11448799200 is an equidigital number, since it uses as much as digits as its factorization.

11448799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11448799200 in words is "eleven billion, four hundred forty-eight million, seven hundred ninety-nine thousand, two hundred".