224363733042564 has 144 divisors (see below), whose sum is σ = 611948375438400. Its totient is φ = 69082362058752.

The previous prime is 224363733042551. The next prime is 224363733042593. The reversal of 224363733042564 is 465240337363422.

224363733042564 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 6 + 3 + 7 + 3 + 30 + 42 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 224363733042564.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10032172 + ... + 23438684.

It is an arithmetic number, because the mean of its divisors is an integer number (4249641496100).

Almost surely, 2^{224363733042564} 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 224363733042564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305974187719200).

224363733042564 is an abundant number, since it is smaller than the sum of its proper divisors (387584642395836).

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

224363733042564 is a wasteful number, since it uses less digits than its factorization.

224363733042564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407154 (or 13407149 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 54.

The spelling of 224363733042564 in words is "two hundred twenty-four trillion, three hundred sixty-three billion, seven hundred thirty-three million, forty-two thousand, five hundred sixty-four".