11945476224 has 432 divisors, whose sum is σ = 40577330430. Its totient is φ = 3358924800.

The previous prime is 11945476223. The next prime is 11945476247. The reversal of 11945476224 is 42267454911.

11945476224 is a `hidden beast` number, since 1 + 19 + 4 + 5 + 4 + 7 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8783438400 + 3162037824 = 93720^2 + 56232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11945476224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11945476223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 168246109 + ... + 168246179.

Almost surely, 2^11945476224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11945476224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288665215).

11945476224 is an abundant number, since it is smaller than the sum of its proper divisors (28631854206).

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

11945476224 is a wasteful number, since it uses less digits than its factorization.

11945476224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 104 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 11945476224 in words is "eleven billion, nine hundred forty-five million, four hundred seventy-six thousand, two hundred twenty-four".