224023043013000 has 768 divisors, whose sum is σ = 891186686208000. Its totient is φ = 46329554880000.

The previous prime is 224023043012983. The next prime is 224023043013037. The reversal of 224023043013000 is 310340320422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 340858701 + ... + 341515299.

It is an arithmetic number, because the mean of its divisors is an integer number (1160399331000).

Almost surely, 2^{224023043013000} is an apocalyptic number.

224023043013000 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 224023043013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445593343104000).

224023043013000 is an abundant number, since it is smaller than the sum of its proper divisors (667163643195000).

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

224023043013000 is a wasteful number, since it uses less digits than its factorization.

224023043013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656859 (or 656838 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 224023043013000 its reverse (310340320422), we get a palindrome (224333383333422).

The spelling of 224023043013000 in words is "two hundred twenty-four trillion, twenty-three billion, forty-three million, thirteen thousand".