224203200120432 has 960 divisors, whose sum is σ = 736081495269120. Its totient is φ = 63090258739200.

The previous prime is 224203200120409. The next prime is 224203200120451. The reversal of 224203200120432 is 234021002302422.

224203200120432 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 3 + 200 + 1 + 20 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 224203200120396 and 224203200120405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48518327082 + ... + 48518331702.

It is an arithmetic number, because the mean of its divisors is an integer number (766751557572).

Almost surely, 2^{224203200120432} 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 224203200120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368040747634560).

224203200120432 is an abundant number, since it is smaller than the sum of its proper divisors (511878295148688).

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

224203200120432 is a wasteful number, since it uses less digits than its factorization.

224203200120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224203200120432 its reverse (234021002302422), we get a palindrome (458224202422854).

The spelling of 224203200120432 in words is "two hundred twenty-four trillion, two hundred three billion, two hundred million, one hundred twenty thousand, four hundred thirty-two".