11248209504 has 432 divisors, whose sum is σ = 39386260368. Its totient is φ = 3147475968.

The previous prime is 11248209491. The next prime is 11248209523. The reversal of 11248209504 is 40590284211.

11248209504 is a `hidden beast` number, since 1 + 124 + 8 + 20 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20193994 + ... + 20194550.

It is an arithmetic number, because the mean of its divisors is an integer number (91171899).

Almost surely, 2^11248209504 is an apocalyptic number.

11248209504 is a gapful number since it is divisible by the number (14) 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 11248209504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693130184).

11248209504 is an abundant number, since it is smaller than the sum of its proper divisors (28138050864).

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

11248209504 is an equidigital number, since it uses as much as digits as its factorization.

11248209504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11248209504 in words is "eleven billion, two hundred forty-eight million, two hundred nine thousand, five hundred four".