224068239360 has 1008 divisors, whose sum is σ = 935208783936. Its totient is φ = 50451185664.

The previous prime is 224068239299. The next prime is 224068239379. The reversal of 224068239360 is 63932860422.

It is a happy number.

224068239360 is a `hidden beast` number, since 2 + 2 + 406 + 8 + 239 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3344302047 + ... + 3344302113.

It is an arithmetic number, because the mean of its divisors is an integer number (927786492).

Almost surely, 2^224068239360 is an apocalyptic number.

224068239360 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 224068239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467604391968).

224068239360 is an abundant number, since it is smaller than the sum of its proper divisors (711140544576).

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

224068239360 is an frugal number, since it uses more digits than its factorization.

224068239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 224068239360 in words is "two hundred twenty-four billion, sixty-eight million, two hundred thirty-nine thousand, three hundred sixty".