224994640896 has 363 divisors, whose sum is σ = 685891685973. Its totient is φ = 73768734720.

The previous prime is 224994640873. The next prime is 224994640901. The reversal of 224994640896 is 698046499422.

The square root of 224994640896 is 474336.

It is a perfect power (a square), and thus also a powerful number.

224994640896 is a `hidden beast` number, since 2 + 2 + 4 + 99 + 464 + 0 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7316407296 + 217678233600 = 85536^2 + 466560^2 .

It is a super-3 number, since 3×224994640896³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 3688436706 + ... + 3688436766.

Almost surely, 2^224994640896 is an apocalyptic number.

224994640896 is the 474336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224994640896

224994640896 is an abundant number, since it is smaller than the sum of its proper divisors (460897045077).

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

224994640896 is an frugal number, since it uses more digits than its factorization.

224994640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 224994640896 in words is "two hundred twenty-four billion, nine hundred ninety-four million, six hundred forty thousand, eight hundred ninety-six".