226134131328 has 288 divisors, whose sum is σ = 758238624000. Its totient is φ = 64501097472.

The previous prime is 226134131303. The next prime is 226134131329. The reversal of 226134131328 is 823131431622.

226134131328 is a `hidden beast` number, since 2 + 2 + 613 + 4 + 1 + 3 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×226134131328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 226134131292 and 226134131301.

It is not an unprimeable number, because it can be changed into a prime (226134131329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37196193 + ... + 37202271.

It is an arithmetic number, because the mean of its divisors is an integer number (2632773000).

Almost surely, 2^226134131328 is an apocalyptic number.

226134131328 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 226134131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379119312000).

226134131328 is an abundant number, since it is smaller than the sum of its proper divisors (532104492672).

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

226134131328 is a wasteful number, since it uses less digits than its factorization.

226134131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6750 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 226134131328 in words is "two hundred twenty-six billion, one hundred thirty-four million, one hundred thirty-one thousand, three hundred twenty-eight".