226149546336 has 288 divisors, whose sum is σ = 715506462720. Its totient is φ = 62296012800.

The previous prime is 226149546331. The next prime is 226149546349. The reversal of 226149546336 is 633645941622.

It is a super-2 number, since 2×226149546336² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226149546331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40973785 + ... + 40979303.

It is an arithmetic number, because the mean of its divisors is an integer number (2484397440).

Almost surely, 2^226149546336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226149546336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357753231360).

226149546336 is an abundant number, since it is smaller than the sum of its proper divisors (489356916384).

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

226149546336 is a wasteful number, since it uses less digits than its factorization.

226149546336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5843 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 51.

The spelling of 226149546336 in words is "two hundred twenty-six billion, one hundred forty-nine million, five hundred forty-six thousand, three hundred thirty-six".