224313040452000 has 384 divisors, whose sum is σ = 739727614080000. Its totient is φ = 59420995200000.

The previous prime is 224313040451977. The next prime is 224313040452023. The reversal of 224313040452000 is 254040313422.

It is an interprime number because it is at equal distance from previous prime (224313040451977) and next prime (224313040452023).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1141449751 + ... + 1141646249.

It is an arithmetic number, because the mean of its divisors is an integer number (1926373995000).

Almost surely, 2^{224313040452000} is an apocalyptic number.

224313040452000 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 224313040452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369863807040000).

224313040452000 is an abundant number, since it is smaller than the sum of its proper divisors (515414573628000).

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

224313040452000 is a wasteful number, since it uses less digits than its factorization.

224313040452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197157 (or 197139 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 224313040452000 its reverse (254040313422), we get a palindrome (224567080765422).

The spelling of 224313040452000 in words is "two hundred twenty-four trillion, three hundred thirteen billion, forty million, four hundred fifty-two thousand".