226004544000 has 960 divisors, whose sum is σ = 869358821760. Its totient is φ = 56269209600.

The previous prime is 226004543927. The next prime is 226004544001. The reversal of 226004544000 is 445400622.

226004544000 is a `hidden beast` number, since 2 + 2 + 600 + 4 + 54 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (226004544001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171007904 + ... + 1171008096.

It is an arithmetic number, because the mean of its divisors is an integer number (905582106).

Almost surely, 2^226004544000 is an apocalyptic number.

226004544000 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 226004544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434679410880).

226004544000 is an abundant number, since it is smaller than the sum of its proper divisors (643354277760).

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

226004544000 is a wasteful number, since it uses less digits than its factorization.

226004544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 226004544000 its reverse (445400622), we get a palindrome (226449944622).

The spelling of 226004544000 in words is "two hundred twenty-six billion, four million, five hundred forty-four thousand".