224201097666720 has 288 divisors, whose sum is σ = 790145197470720. Its totient is φ = 57830600540160.

The previous prime is 224201097666709. The next prime is 224201097666779. The reversal of 224201097666720 is 27666790102422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×224201097666720² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91960416 + ... + 94366944.

It is an arithmetic number, because the mean of its divisors is an integer number (2743559713440).

Almost surely, 2^{224201097666720} is an apocalyptic number.

224201097666720 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 224201097666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395072598735360).

224201097666720 is an abundant number, since it is smaller than the sum of its proper divisors (565944099804000).

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

224201097666720 is a wasteful number, since it uses less digits than its factorization.

224201097666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408668 (or 2408657 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 224201097666720 in words is "two hundred twenty-four trillion, two hundred one billion, ninety-seven million, six hundred sixty-six thousand, seven hundred twenty".