225726416000 has 192 divisors, whose sum is σ = 586695727800. Its totient is φ = 86361651200.

The previous prime is 225726415949. The next prime is 225726416017. The reversal of 225726416000 is 614627522.

It can be written as a sum of positive squares in 4 ways, for example, as 139379768896 + 86346647104 = 373336^2 + 293848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8450666 + ... + 8477334.

Almost surely, 2^225726416000 is an apocalyptic number.

225726416000 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 225726416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293347863900).

225726416000 is an abundant number, since it is smaller than the sum of its proper divisors (360969311800).

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

225726416000 is an equidigital number, since it uses as much as digits as its factorization.

225726416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26744 (or 26699 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 225726416000 in words is "two hundred twenty-five billion, seven hundred twenty-six million, four hundred sixteen thousand".