226834532848368 has 160 divisors (see below), whose sum is σ = 658970098214400. Its totient is φ = 74697535148544.

The previous prime is 226834532848367. The next prime is 226834532848373. The reversal of 226834532848368 is 863848235438622.

226834532848368 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 3 + 4 + 532 + 8 + 4 + 83 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 226834532848296 and 226834532848305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226834532848367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005899053 + ... + 1006124531.

It is an arithmetic number, because the mean of its divisors is an integer number (4118563113840).

Almost surely, 2^{226834532848368} 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 226834532848368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329485049107200).

226834532848368 is an abundant number, since it is smaller than the sum of its proper divisors (432135565366032).

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

226834532848368 is a wasteful number, since it uses less digits than its factorization.

226834532848368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253636 (or 253624 counting only the distinct ones).

The product of its digits is 2548039680, while the sum is 72.

The spelling of 226834532848368 in words is "two hundred twenty-six trillion, eight hundred thirty-four billion, five hundred thirty-two million, eight hundred forty-eight thousand, three hundred sixty-eight".