422636323636224 has 176 divisors, whose sum is σ = 1252938758121600. Its totient is φ = 140733079216128.

The previous prime is 422636323636199. The next prime is 422636323636231.

422636323636224 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 3 + 6 + 3 + 2 + 3 + 6 + 3 + 622 + 4 = 666.

422636323636224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18831622 + ... + 34639610.

It is an arithmetic number, because the mean of its divisors is an integer number (7118970216600).

Almost surely, 2^{422636323636224} 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 422636323636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626469379060800).

422636323636224 is an abundant number, since it is smaller than the sum of its proper divisors (830302434485376).

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

422636323636224 is a wasteful number, since it uses less digits than its factorization.

422636323636224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15808985 (or 15808961 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 54.

The spelling of 422636323636224 in words is "four hundred twenty-two trillion, six hundred thirty-six billion, three hundred twenty-three million, six hundred thirty-six thousand, two hundred twenty-four".