224163920448 has 560 divisors, whose sum is σ = 751227473920. Its totient is φ = 65616998400.

The previous prime is 224163920429. The next prime is 224163920459. The reversal of 224163920448 is 844029361422.

224163920448 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 639 + 2 + 0 + 4 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127437393 + ... + 127439151.

It is an arithmetic number, because the mean of its divisors is an integer number (1341477632).

Almost surely, 2^224163920448 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 224163920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375613736960).

224163920448 is an abundant number, since it is smaller than the sum of its proper divisors (527063553472).

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

224163920448 is a wasteful number, since it uses less digits than its factorization.

224163920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 224163920448 in words is "two hundred twenty-four billion, one hundred sixty-three million, nine hundred twenty thousand, four hundred forty-eight".