224921287872 has 168 divisors, whose sum is σ = 654260921600. Its totient is φ = 73868889600.

The previous prime is 224921287831. The next prime is 224921287879. The reversal of 224921287872 is 278782129422.

224921287872 is a `hidden beast` number, since 2 + 2 + 492 + 1 + 2 + 87 + 8 + 72 = 666.

224921287872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224921287879) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11796747 + ... + 11815797.

Almost surely, 2^224921287872 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 224921287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327130460800).

224921287872 is an abundant number, since it is smaller than the sum of its proper divisors (429339633728).

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

224921287872 is a wasteful number, since it uses less digits than its factorization.

224921287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19371 (or 19358 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 224921287872 in words is "two hundred twenty-four billion, nine hundred twenty-one million, two hundred eighty-seven thousand, eight hundred seventy-two".