11745785782224 has 480 divisors, whose sum is σ = 38121360076800. Its totient is φ = 3345316070400.

The previous prime is 11745785782223. The next prime is 11745785782253. The reversal of 11745785782224 is 42228758754711.

11745785782224 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 57 + 8 + 578 + 2 + 2 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11745785782223) 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, 1034774149 + ... + 1034785499.

It is an arithmetic number, because the mean of its divisors is an integer number (79419500160).

Almost surely, 2^{11745785782224} 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 11745785782224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060680038400).

11745785782224 is an abundant number, since it is smaller than the sum of its proper divisors (26375574294576).

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

11745785782224 is a wasteful number, since it uses less digits than its factorization.

11745785782224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063 (or 12054 counting only the distinct ones).

The product of its digits is 70246400, while the sum is 63.

The spelling of 11745785782224 in words is "eleven trillion, seven hundred forty-five billion, seven hundred eighty-five million, seven hundred eighty-two thousand, two hundred twenty-four".