224456022521472 has 256 divisors, whose sum is σ = 706972082169600. Its totient is φ = 61735159922688.

The previous prime is 224456022521369. The next prime is 224456022521473. The reversal of 224456022521472 is 274125220654422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (224456022521473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21997698 + ... + 30541950.

It is an arithmetic number, because the mean of its divisors is an integer number (2761609695975).

Almost surely, 2^{224456022521472} 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 224456022521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353486041084800).

224456022521472 is an abundant number, since it is smaller than the sum of its proper divisors (482516059648128).

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

224456022521472 is a wasteful number, since it uses less digits than its factorization.

224456022521472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8544643 (or 8544631 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 48.

The spelling of 224456022521472 in words is "two hundred twenty-four trillion, four hundred fifty-six billion, twenty-two million, five hundred twenty-one thousand, four hundred seventy-two".