226725908640 has 1152 divisors, whose sum is σ = 965260800000. Its totient is φ = 44557793280.

The previous prime is 226725908611. The next prime is 226725908687. The reversal of 226725908640 is 46809527622.

It is a happy 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 191 ways as a sum of consecutive naturals, for example, 378507061 + ... + 378507659.

It is an arithmetic number, because the mean of its divisors is an integer number (837900000).

Almost surely, 2^226725908640 is an apocalyptic number.

226725908640 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 226725908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400000).

226725908640 is an abundant number, since it is smaller than the sum of its proper divisors (738534891360).

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

226725908640 is a wasteful number, since it uses less digits than its factorization.

226725908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 226725908640 in words is "two hundred twenty-six billion, seven hundred twenty-five million, nine hundred eight thousand, six hundred forty".