18010224826048 has 448 divisors, whose sum is σ = 47012086051840. Its totient is φ = 6646657056768.

The previous prime is 18010224826037. The next prime is 18010224826051. The reversal of 18010224826048 is 84062842201081.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 18010224825989 and 18010224826007.

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 63 ways as a sum of consecutive naturals, for example, 6357296440 + ... + 6357299272.

It is an arithmetic number, because the mean of its divisors is an integer number (104937692080).

Almost surely, 2^{18010224826048} 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 18010224826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506043025920).

18010224826048 is an abundant number, since it is smaller than the sum of its proper divisors (29001861225792).

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

18010224826048 is a wasteful number, since it uses less digits than its factorization.

18010224826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 18010224826048 in words is "eighteen trillion, ten billion, two hundred twenty-four million, eight hundred twenty-six thousand, forty-eight".