224715914080 has 96 divisors (see below), whose sum is σ = 608001085440. Its totient is φ = 76884426240.

The previous prime is 224715914069. The next prime is 224715914153. The reversal of 224715914080 is 80419517422.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 327045 + ... + 745915.

It is an arithmetic number, because the mean of its divisors is an integer number (6333344640).

Almost surely, 2^224715914080 is an apocalyptic number.

224715914080 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 224715914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304000542720).

224715914080 is an abundant number, since it is smaller than the sum of its proper divisors (383285171360).

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

224715914080 is a wasteful number, since it uses less digits than its factorization.

224715914080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419372 (or 419364 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 224715914080 in words is "two hundred twenty-four billion, seven hundred fifteen million, nine hundred fourteen thousand, eighty".