4224768674224 has 160 divisors (see below), whose sum is σ = 9573587251200. Its totient is φ = 1768805068800.

The previous prime is 4224768674197. The next prime is 4224768674251.

4224768674224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4224768674197) and next prime (4224768674251).

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 31 ways as a sum of consecutive naturals, for example, 510665352 + ... + 510673624.

It is an arithmetic number, because the mean of its divisors is an integer number (59834920320).

Almost surely, 2^{4224768674224} 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 4224768674224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786793625600).

4224768674224 is an abundant number, since it is smaller than the sum of its proper divisors (5348818576976).

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

4224768674224 is a wasteful number, since it uses less digits than its factorization.

4224768674224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8933 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 58.

The spelling of 4224768674224 in words is "four trillion, two hundred twenty-four billion, seven hundred sixty-eight million, six hundred seventy-four thousand, two hundred twenty-four".