225724623000 has 256 divisors, whose sum is σ = 747530259840. Its totient is φ = 56512512000.

The previous prime is 225724622987. The next prime is 225724623001. The reversal of 225724623000 is 326427522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225724623001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21465744 + ... + 21476256.

Almost surely, 2^225724623000 is an apocalyptic number.

225724623000 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 225724623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373765129920).

225724623000 is an abundant number, since it is smaller than the sum of its proper divisors (521805636840).

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

225724623000 is a wasteful number, since it uses less digits than its factorization.

225724623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10975 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 225724623000 in words is "two hundred twenty-five billion, seven hundred twenty-four million, six hundred twenty-three thousand".