11301443230224 has 480 divisors, whose sum is σ = 35349788897280. Its totient is φ = 3100081711104.

The previous prime is 11301443230223. The next prime is 11301443230249. The reversal of 11301443230224 is 42203234410311.

It is a junction number, because it is equal to n+sod(n) for n = 11301443230191 and 11301443230200.

It is not an unprimeable number, because it can be changed into a prime (11301443230223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1427126137 + ... + 1427134055.

It is an arithmetic number, because the mean of its divisors is an integer number (73645393536).

Almost surely, 2^{11301443230224} is an apocalyptic number.

11301443230224 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 11301443230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674894448640).

11301443230224 is an abundant number, since it is smaller than the sum of its proper divisors (24048345667056).

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

11301443230224 is a wasteful number, since it uses less digits than its factorization.

11301443230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11301443230224 its reverse (42203234410311), we get a palindrome (53504677640535).

The spelling of 11301443230224 in words is "eleven trillion, three hundred one billion, four hundred forty-three million, two hundred thirty thousand, two hundred twenty-four".