11253217248 has 864 divisors, whose sum is σ = 44440381440. Its totient is φ = 2720977920.

The previous prime is 11253217247. The next prime is 11253217301. The reversal of 11253217248 is 84271235211.

11253217248 is a `hidden beast` number, since 1 + 12 + 532 + 1 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253217243) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363006993 + ... + 363007023.

Almost surely, 2^11253217248 is an apocalyptic number.

11253217248 is a gapful number since it is divisible by the number (18) 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 11253217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220190720).

11253217248 is an abundant number, since it is smaller than the sum of its proper divisors (33187164192).

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

11253217248 is an equidigital number, since it uses as much as digits as its factorization.

11253217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 11253217248 in words is "eleven billion, two hundred fifty-three million, two hundred seventeen thousand, two hundred forty-eight".