8112324444000 has 1536 divisors, whose sum is σ = 32288514306048. Its totient is φ = 1741824000000.

The previous prime is 8112324443987. The next prime is 8112324444013. The reversal of 8112324444000 is 4444232118.

It is an interprime number because it is at equal distance from previous prime (8112324443987) and next prime (8112324444013).

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 255 ways as a sum of consecutive naturals, for example, 13498043700 + ... + 13498044300.

It is an arithmetic number, because the mean of its divisors is an integer number (21021168168).

Almost surely, 2^{8112324444000} is an apocalyptic number.

8112324444000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8112324444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144257153024).

8112324444000 is an abundant number, since it is smaller than the sum of its proper divisors (24176189862048).

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

8112324444000 is a wasteful number, since it uses less digits than its factorization.

8112324444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 8112324444000 its reverse (4444232118), we get a palindrome (8116768676118).

The spelling of 8112324444000 in words is "eight trillion, one hundred twelve billion, three hundred twenty-four million, four hundred forty-four thousand".