224889772800 has 1296 divisors, whose sum is σ = 973611684864. Its totient is φ = 45158400000.

The previous prime is 224889772799. The next prime is 224889772817. The reversal of 224889772800 is 8277988422.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 320812450 + ... + 320813150.

It is an arithmetic number, because the mean of its divisors is an integer number (751243584).

Almost surely, 2^224889772800 is an apocalyptic number.

224889772800 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 224889772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486805842432).

224889772800 is an abundant number, since it is smaller than the sum of its proper divisors (748721912064).

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

224889772800 is a wasteful number, since it uses less digits than its factorization.

224889772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 224889772800 in words is "two hundred twenty-four billion, eight hundred eighty-nine million, seven hundred seventy-two thousand, eight hundred".