4226362636224 has 112 divisors (see below), whose sum is σ = 11443316151168. Its totient is φ = 1375903269888.

The previous prime is 4226362636213. The next prime is 4226362636247.

4226362636224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4226362636224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177962719 + ... + 177986465.

Almost surely, 2^{4226362636224} 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 4226362636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721658075584).

4226362636224 is an abundant number, since it is smaller than the sum of its proper divisors (7216953514944).

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

4226362636224 is a wasteful number, since it uses less digits than its factorization.

4226362636224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45362 (or 45352 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 48.

The spelling of 4226362636224 in words is "four trillion, two hundred twenty-six billion, three hundred sixty-two million, six hundred thirty-six thousand, two hundred twenty-four".