11248243200 has 600 divisors, whose sum is σ = 43898403120. Its totient is φ = 2836684800.

The previous prime is 11248243187. The next prime is 11248243213. The reversal of 11248243200 is 234284211.

It is an interprime number because it is at equal distance from previous prime (11248243187) and next prime (11248243213).

It is a tau number, because it is divible by the number of its divisors (600).

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

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 59 ways as a sum of consecutive naturals, for example, 19698915 + ... + 19699485.

Almost surely, 2^11248243200 is an apocalyptic number.

11248243200 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 11248243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21949201560).

11248243200 is an abundant number, since it is smaller than the sum of its proper divisors (32650159920).

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

11248243200 is an equidigital number, since it uses as much as digits as its factorization.

11248243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11248243200 in words is "eleven billion, two hundred forty-eight million, two hundred forty-three thousand, two hundred".