224198462016 has 189 divisors, whose sum is σ = 652177215963. Its totient is φ = 73638097920.

The previous prime is 224198461979. The next prime is 224198462039. The reversal of 224198462016 is 610264891422.

It is a happy number.

The square root of 224198462016 is 473496.

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

224198462016 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 9 + 8 + 4 + 620 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47395031616 + 176803430400 = 217704^2 + 420480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1238665446 + ... + 1238665626.

Almost surely, 2^224198462016 is an apocalyptic number.

224198462016 is the 473496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224198462016

224198462016 is an abundant number, since it is smaller than the sum of its proper divisors (427978753947).

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

224198462016 is an equidigital number, since it uses as much as digits as its factorization.

224198462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 224198462016 in words is "two hundred twenty-four billion, one hundred ninety-eight million, four hundred sixty-two thousand, sixteen".