224004400520000 has 140 divisors (see below), whose sum is σ = 555475644847860. Its totient is φ = 89598931968000.

The previous prime is 224004400519969. The next prime is 224004400520009. The reversal of 224004400520000 is 25004400422.

224004400520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 146875396454656 + 77129004065344 = 12119216^2 + 8782312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224004400520009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1654212296 + ... + 1654347704.

Almost surely, 2^{224004400520000} is an apocalyptic number.

224004400520000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224004400520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277737822423930).

224004400520000 is an abundant number, since it is smaller than the sum of its proper divisors (331471244327860).

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

224004400520000 is an equidigital number, since it uses as much as digits as its factorization.

224004400520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176798 (or 176773 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 224004400520000 its reverse (25004400422), we get a palindrome (224029404920422).

The spelling of 224004400520000 in words is "two hundred twenty-four trillion, four billion, four hundred million, five hundred twenty thousand".