224960148216 has 24 divisors (see below), whose sum is σ = 609267068280. Its totient is φ = 74986716048.

The previous prime is 224960148209. The next prime is 224960148229. The reversal of 224960148216 is 612841069422.

It is a happy number.

224960148216 is a `hidden beast` number, since 2 + 2 + 496 + 0 + 148 + 2 + 16 = 666.

224960148216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1562223180 + ... + 1562223323.

It is an arithmetic number, because the mean of its divisors is an integer number (25386127845).

Almost surely, 2^224960148216 is an apocalyptic number.

It is an amenable number.

224960148216 is an abundant number, since it is smaller than the sum of its proper divisors (384306920064).

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

224960148216 is a wasteful number, since it uses less digits than its factorization.

224960148216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124446515 (or 3124446508 counting only the distinct ones).

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

The spelling of 224960148216 in words is "two hundred twenty-four billion, nine hundred sixty million, one hundred forty-eight thousand, two hundred sixteen".