224132438149200 has 1080 divisors, whose sum is σ = 958598464075200. Its totient is φ = 48187251302400.

The previous prime is 224132438149141. The next prime is 224132438149229. The reversal of 224132438149200 is 2941834231422.

224132438149200 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 3 + 2 + 438 + 1 + 4 + 9 + 200 = 666.

224132438149200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5094939205 + ... + 5094983195.

It is an arithmetic number, because the mean of its divisors is an integer number (887591170440).

Almost surely, 2^{224132438149200} is an apocalyptic number.

224132438149200 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 224132438149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479299232037600).

224132438149200 is an abundant number, since it is smaller than the sum of its proper divisors (734466025926000).

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

224132438149200 is a wasteful number, since it uses less digits than its factorization.

224132438149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45745 (or 45724 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 224132438149200 in words is "two hundred twenty-four trillion, one hundred thirty-two billion, four hundred thirty-eight million, one hundred forty-nine thousand, two hundred".