4812444190008 has 512 divisors, whose sum is σ = 16715870976000. Its totient is φ = 1248962457600.

The previous prime is 4812444190003. The next prime is 4812444190009. The reversal of 4812444190008 is 8000914442184.

4812444190008 is a `hidden beast` number, since 4 + 8 + 12 + 444 + 190 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812444190003) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2371829538 + ... + 2371831566.

It is an arithmetic number, because the mean of its divisors is an integer number (32648185500).

Almost surely, 2^{4812444190008} 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 4812444190008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357935488000).

4812444190008 is an abundant number, since it is smaller than the sum of its proper divisors (11903426785992).

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

4812444190008 is a wasteful number, since it uses less digits than its factorization.

4812444190008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4812444190008 in words is "four trillion, eight hundred twelve billion, four hundred forty-four million, one hundred ninety thousand, eight".