18181220148000 has 1152 divisors, whose sum is σ = 82357287667200. Its totient is φ = 3836018995200.

The previous prime is 18181220147999. The next prime is 18181220148017. The reversal of 18181220148000 is 84102218181.

18181220148000 is a `hidden beast` number, since 1 + 81 + 81 + 2 + 20 + 1 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×18181220148000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88349226 + ... + 88554774.

It is an arithmetic number, because the mean of its divisors is an integer number (71490701100).

Almost surely, 2^{18181220148000} is an apocalyptic number.

18181220148000 is a gapful number since it is divisible by the number (10) 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 18181220148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41178643833600).

18181220148000 is an abundant number, since it is smaller than the sum of its proper divisors (64176067519200).

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

18181220148000 is a wasteful number, since it uses less digits than its factorization.

18181220148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205609 (or 205579 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 18181220148000 in words is "eighteen trillion, one hundred eighty-one billion, two hundred twenty million, one hundred forty-eight thousand".