224285466796560 has 240 divisors, whose sum is σ = 833089172099184. Its totient is φ = 53716602359808.

The previous prime is 224285466796537. The next prime is 224285466796561. The reversal of 224285466796560 is 65697664582422.

224285466796560 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 8 + 54 + 6 + 6 + 7 + 9 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 402955804944 + 223882510991616 = 634788^2 + 14962704^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (224285466796561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323466147 + ... + 324158786.

Almost surely, 2^{224285466796560} is an apocalyptic number.

224285466796560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224285466796560 is an abundant number, since it is smaller than the sum of its proper divisors (608803705302624).

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

224285466796560 is a wasteful number, since it uses less digits than its factorization.

224285466796560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647625002 (or 647624993 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 224285466796560 in words is "two hundred twenty-four trillion, two hundred eighty-five billion, four hundred sixty-six million, seven hundred ninety-six thousand, five hundred sixty".