224000000000000 has 468 divisors, whose sum is σ = 639997558069464. Its totient is φ = 76800000000000.

The previous prime is 223999999999943. The next prime is 224000000000011. The reversal of 224000000000000 is 422.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 31999999999997 + ... + 32000000000003.

Almost surely, 2^{224000000000000} is an apocalyptic number.

224000000000000 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 224000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319998779034732).

224000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (415997558069464).

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

224000000000000 is an frugal number, since it uses more digits than its factorization.

224000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 224000000000000 its reverse (422), we get a palindrome (224000000000422).

The spelling of 224000000000000 in words is "two hundred twenty-four trillion", and thus it is an aban number.