224028235842048 has 800 divisors, whose sum is σ = 741295976306688. Its totient is φ = 67350690570240.

The previous prime is 224028235842007. The next prime is 224028235842049. The reversal of 224028235842048 is 840248532820422.

224028235842048 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 82 + 358 + 4 + 204 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 224028235841985 and 224028235842003.

It is not an unprimeable number, because it can be changed into a prime (224028235842049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7010286486 + ... + 7010318442.

Almost surely, 2^{224028235842048} 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 224028235842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370647988153344).

224028235842048 is an abundant number, since it is smaller than the sum of its proper divisors (517267740464640).

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

224028235842048 is an equidigital number, since it uses as much as digits as its factorization.

224028235842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32147 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 54.

The spelling of 224028235842048 in words is "two hundred twenty-four trillion, twenty-eight billion, two hundred thirty-five million, eight hundred forty-two thousand, forty-eight".