226841536800 has 270 divisors, whose sum is σ = 827689354569. Its totient is φ = 60458745600.

The previous prime is 226841536781. The next prime is 226841536829. The reversal of 226841536800 is 8635148622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226841536800 is a `hidden beast` number, since 226 + 8 + 415 + 3 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 222304706064 + 4536830736 = 471492^2 + 67356^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336780.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 121239865 + ... + 121241735.

Almost surely, 2^226841536800 is an apocalyptic number.

226841536800 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 226841536800

226841536800 is an abundant number, since it is smaller than the sum of its proper divisors (600847817769).

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

226841536800 is an frugal number, since it uses more digits than its factorization.

226841536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 226841536800 in words is "two hundred twenty-six billion, eight hundred forty-one million, five hundred thirty-six thousand, eight hundred".