224515942560 has 2304 divisors, whose sum is σ = 1065160212480. Its totient is φ = 43356487680.

The previous prime is 224515942489. The next prime is 224515942571. The reversal of 224515942560 is 65249515422.

224515942560 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 1 + 594 + 2 + 56 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2522650996 + ... + 2522651084.

It is an arithmetic number, because the mean of its divisors is an integer number (462309120).

Almost surely, 2^224515942560 is an apocalyptic number.

224515942560 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 224515942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532580106240).

224515942560 is an abundant number, since it is smaller than the sum of its proper divisors (840644269920).

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

224515942560 is a wasteful number, since it uses less digits than its factorization.

224515942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 224515942560 in words is "two hundred twenty-four billion, five hundred fifteen million, nine hundred forty-two thousand, five hundred sixty".