226017848448 has 1080 divisors, whose sum is σ = 847117576305. Its totient is φ = 59638892544.

The previous prime is 226017848437. The next prime is 226017848461. The reversal of 226017848448 is 844848710622.

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.

226017848448 is a `hidden beast` number, since 2 + 26 + 0 + 178 + 4 + 8 + 448 = 666.

226017848448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 225883473984 + 134374464 = 475272^2 + 11592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336168.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 226017848394 and 226017848403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7793718898 + ... + 7793718926.

Almost surely, 2^226017848448 is an apocalyptic number.

226017848448 is a gapful number since it is divisible by the number (28) 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 226017848448

226017848448 is an abundant number, since it is smaller than the sum of its proper divisors (621099727857).

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

226017848448 is an equidigital number, since it uses as much as digits as its factorization.

226017848448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 226017848448 in words is "two hundred twenty-six billion, seventeen million, eight hundred forty-eight thousand, four hundred forty-eight".