226664688162432 has 512 divisors, whose sum is σ = 685931597568000. Its totient is φ = 65818283212800.

The previous prime is 226664688162413. The next prime is 226664688162487. The reversal of 226664688162432 is 234261886466622.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17695730044 + ... + 17695742852.

It is an arithmetic number, because the mean of its divisors is an integer number (1339710151500).

Almost surely, 2^{226664688162432} 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 226664688162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342965798784000).

226664688162432 is an abundant number, since it is smaller than the sum of its proper divisors (459266909405568).

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

226664688162432 is a wasteful number, since it uses less digits than its factorization.

226664688162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15700 (or 15688 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 66.

The spelling of 226664688162432 in words is "two hundred twenty-six trillion, six hundred sixty-four billion, six hundred eighty-eight million, one hundred sixty-two thousand, four hundred thirty-two".