224068118400000 has 1056 divisors, whose sum is σ = 947915264540160. Its totient is φ = 51215431680000.

The previous prime is 224068118399977. The next prime is 224068118400001. The reversal of 224068118400000 is 4811860422.

224068118400000 is a `hidden beast` number, since 2 + 240 + 6 + 8 + 1 + 1 + 8 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224068118400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604614759 + ... + 604985241.

Almost surely, 2^{224068118400000} is an apocalyptic number.

224068118400000 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 224068118400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473957632270080).

224068118400000 is an abundant number, since it is smaller than the sum of its proper divisors (723847146140160).

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

224068118400000 is an frugal number, since it uses more digits than its factorization.

224068118400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370544 (or 370500 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 224068118400000 in words is "two hundred twenty-four trillion, sixty-eight billion, one hundred eighteen million, four hundred thousand".