226358480800 has 36 divisors (see below), whose sum is σ = 552597643206. Its totient is φ = 90543392000.

The previous prime is 226358480779. The next prime is 226358480809. The reversal of 226358480800 is 8084853622.

It can be written as a sum of positive squares in 3 ways, for example, as 192415577104 + 33942903696 = 438652^2 + 184236^2 .

It is a super-3 number, since 3×226358480800³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (226358480809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141473251 + ... + 141474850.

Almost surely, 2^226358480800 is an apocalyptic number.

226358480800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226358480800 is an abundant number, since it is smaller than the sum of its proper divisors (326239162406).

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

226358480800 is a wasteful number, since it uses less digits than its factorization.

226358480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282948121 (or 282948108 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 226358480800 in words is "two hundred twenty-six billion, three hundred fifty-eight million, four hundred eighty thousand, eight hundred".