224044482816 has 1152 divisors, whose sum is σ = 861815808000. Its totient is φ = 57373747200.

The previous prime is 224044482793. The next prime is 224044482817. The reversal of 224044482816 is 618284440422.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (224044482817) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3155556061 + ... + 3155556131.

It is an arithmetic number, because the mean of its divisors is an integer number (748104000).

Almost surely, 2^224044482816 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 224044482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430907904000).

224044482816 is an abundant number, since it is smaller than the sum of its proper divisors (637771325184).

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

224044482816 is an frugal number, since it uses more digits than its factorization.

224044482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 224044482816 in words is "two hundred twenty-four billion, forty-four million, four hundred eighty-two thousand, eight hundred sixteen".