226001661120 has 672 divisors, whose sum is σ = 838281540096. Its totient is φ = 55686758400.

The previous prime is 226001661097. The next prime is 226001661157. The reversal of 226001661120 is 21166100622.

226001661120 is a `hidden beast` number, since 2 + 26 + 0 + 0 + 1 + 6 + 611 + 20 = 666.

226001661120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1071097815 + ... + 1071098025.

It is an arithmetic number, because the mean of its divisors is an integer number (1247442768).

Almost surely, 2^226001661120 is an apocalyptic number.

226001661120 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 226001661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419140770048).

226001661120 is an abundant number, since it is smaller than the sum of its proper divisors (612279878976).

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

226001661120 is a wasteful number, since it uses less digits than its factorization.

226001661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 226001661120 its reverse (21166100622), we get a palindrome (247167761742).

The spelling of 226001661120 in words is "two hundred twenty-six billion, one million, six hundred sixty-one thousand, one hundred twenty".