224460310322164 has 144 divisors (see below), whose sum is σ = 475058860673040. Its totient is φ = 92448330670080.

The previous prime is 224460310322161. The next prime is 224460310322231. The reversal of 224460310322164 is 461223013064422.

It can be written as a sum of positive squares in 8 ways, for example, as 7467966286564 + 216992344035600 = 2732758^2 + 14730660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224460310322161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614910424 + ... + 615275344.

It is an arithmetic number, because the mean of its divisors is an integer number (3299019865785).

Almost surely, 2^{224460310322164} 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 224460310322164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237529430336520).

224460310322164 is an abundant number, since it is smaller than the sum of its proper divisors (250598550350876).

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

224460310322164 is a wasteful number, since it uses less digits than its factorization.

224460310322164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366018 (or 366009 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 224460310322164 its reverse (461223013064422), we get a palindrome (685683323386586).

The spelling of 224460310322164 in words is "two hundred twenty-four trillion, four hundred sixty billion, three hundred ten million, three hundred twenty-two thousand, one hundred sixty-four".