224907246216 has 128 divisors (see below), whose sum is σ = 637756416000. Its totient is φ = 73417103424.

The previous prime is 224907246199. The next prime is 224907246227. The reversal of 224907246216 is 612642709422.

224907246216 is a `hidden beast` number, since 2 + 24 + 90 + 72 + 462 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3318121 + ... + 3385223.

It is an arithmetic number, because the mean of its divisors is an integer number (4982472000).

Almost surely, 2^224907246216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224907246216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318878208000).

224907246216 is an abundant number, since it is smaller than the sum of its proper divisors (412849169784).

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

224907246216 is a wasteful number, since it uses less digits than its factorization.

224907246216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67440 (or 67430 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 224907246216 in words is "two hundred twenty-four billion, nine hundred seven million, two hundred forty-six thousand, two hundred sixteen".