11242766304 has 504 divisors, whose sum is σ = 41761606320. Its totient is φ = 2915066880.

The previous prime is 11242766303. The next prime is 11242766323. The reversal of 11242766304 is 40366724211.

11242766304 is a `hidden beast` number, since 1 + 12 + 4 + 2 + 7 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (11242766303) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758532 + ... + 19759100.

It is an arithmetic number, because the mean of its divisors is an integer number (82860330).

Almost surely, 2^11242766304 is an apocalyptic number.

11242766304 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 11242766304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20880803160).

11242766304 is an abundant number, since it is smaller than the sum of its proper divisors (30518840016).

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

11242766304 is an equidigital number, since it uses as much as digits as its factorization.

11242766304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 11242766304 in words is "eleven billion, two hundred forty-two million, seven hundred sixty-six thousand, three hundred four".