11248518400 has 162 divisors, whose sum is σ = 32388350190. Its totient is φ = 3856527360.

The previous prime is 11248518371. The next prime is 11248518403. The reversal of 11248518400 is 481584211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2439569664 + 8808948736 = 49392^2 + 93856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11248518403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295666 + ... + 331534.

Almost surely, 2^11248518400 is an apocalyptic number.

11248518400 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 11248518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194175095).

11248518400 is an abundant number, since it is smaller than the sum of its proper divisors (21139831790).

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

11248518400 is an equidigital number, since it uses as much as digits as its factorization.

11248518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35909 (or 35883 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 11248518400 in words is "eleven billion, two hundred forty-eight million, five hundred eighteen thousand, four hundred".