224725264000 has 128 divisors (see below), whose sum is σ = 572352253200. Its totient is φ = 87697408000.

The previous prime is 224725263989. The next prime is 224725264021. The reversal of 224725264000 is 462527422.

It can be written as a sum of positive squares in 8 ways, for example, as 41679936 + 224683584064 = 6456^2 + 474008^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484716 + ... + 827284.

Almost surely, 2^224725264000 is an apocalyptic number.

224725264000 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 224725264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286176126600).

224725264000 is an abundant number, since it is smaller than the sum of its proper divisors (347626989200).

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

224725264000 is an equidigital number, since it uses as much as digits as its factorization.

224725264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342639 (or 342617 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 224725264000 in words is "two hundred twenty-four billion, seven hundred twenty-five million, two hundred sixty-four thousand".