633226222622336 has 192 divisors, whose sum is σ = 1489235712207360. Its totient is φ = 262450585036800.

The previous prime is 633226222622299. The next prime is 633226222622341.

It is a happy number.

633226222622336 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108783062306 + ... + 108783068126.

It is an arithmetic number, because the mean of its divisors is an integer number (7756436001080).

Almost surely, 2^{633226222622336} 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 633226222622336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744617856103680).

633226222622336 is an abundant number, since it is smaller than the sum of its proper divisors (856009489585024).

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

633226222622336 is an frugal number, since it uses more digits than its factorization.

633226222622336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9831 (or 7840 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 50.

The spelling of 633226222622336 in words is "six hundred thirty-three trillion, two hundred twenty-six billion, two hundred twenty-two million, six hundred twenty-two thousand, three hundred thirty-six".