18004271798016 has 1152 divisors, whose sum is σ = 65939081564160. Its totient is φ = 4728708661248.

The previous prime is 18004271797987. The next prime is 18004271798041. The reversal of 18004271798016 is 61089717240081.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11203653085 + ... + 11203654691.

It is an arithmetic number, because the mean of its divisors is an integer number (57238786080).

Almost surely, 2^{18004271798016} is an apocalyptic number.

18004271798016 is a gapful number since it is divisible by the number (16) 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 18004271798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32969540782080).

18004271798016 is an abundant number, since it is smaller than the sum of its proper divisors (47934809766144).

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

18004271798016 is a wasteful number, since it uses less digits than its factorization.

18004271798016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 18004271798016 in words is "eighteen trillion, four billion, two hundred seventy-one million, seven hundred ninety-eight thousand, sixteen".