224898506566272 has 2304 divisors, whose sum is σ = 904183233408000. Its totient is φ = 52811267604480.

The previous prime is 224898506566243. The next prime is 224898506566333. The reversal of 224898506566272 is 272665605898422.

224898506566272 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 9 + 8 + 50 + 6 + 566 + 2 + 7 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224898506566272.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174475179004 + ... + 174475180292.

It is an arithmetic number, because the mean of its divisors is an integer number (392440639500).

Almost surely, 2^{224898506566272} is an apocalyptic number.

224898506566272 is a gapful number since it is divisible by the number (22) 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 224898506566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452091616704000).

224898506566272 is an abundant number, since it is smaller than the sum of its proper divisors (679284726841728).

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

224898506566272 is a wasteful number, since it uses less digits than its factorization.

224898506566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 224898506566272 in words is "two hundred twenty-four trillion, eight hundred ninety-eight billion, five hundred six million, five hundred sixty-six thousand, two hundred seventy-two".