11224236096 has 336 divisors, whose sum is σ = 35414346240. Its totient is φ = 3518484480.

The previous prime is 11224236091. The next prime is 11224236097. The reversal of 11224236096 is 69063242211.

It is a happy number.

11224236096 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 42 + 3 + 609 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11224236096.

It is not an unprimeable number, because it can be changed into a prime (11224236091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18491025 + ... + 18491631.

It is an arithmetic number, because the mean of its divisors is an integer number (105399840).

Almost surely, 2^11224236096 is an apocalyptic number.

11224236096 is a gapful number since it is divisible by the number (16) 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 11224236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707173120).

11224236096 is an abundant number, since it is smaller than the sum of its proper divisors (24190110144).

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

11224236096 is an equidigital number, since it uses as much as digits as its factorization.

11224236096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11224236096 in words is "eleven billion, two hundred twenty-four million, two hundred thirty-six thousand, ninety-six".