4451882233344 has 960 divisors, whose sum is σ = 15195339061056. Its totient is φ = 1147764473856.

The previous prime is 4451882233301. The next prime is 4451882233363. The reversal of 4451882233344 is 4433322881544.

It is a super-2 number, since 2×4451882233344² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11213808954 + ... + 11213809350.

Almost surely, 2^{4451882233344} 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 4451882233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597669530528).

4451882233344 is an abundant number, since it is smaller than the sum of its proper divisors (10743456827712).

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

4451882233344 is a wasteful number, since it uses less digits than its factorization.

4451882233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 652 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 51.

The spelling of 4451882233344 in words is "four trillion, four hundred fifty-one billion, eight hundred eighty-two million, two hundred thirty-three thousand, three hundred forty-four".