18116527968000 has 5184 divisors, whose sum is σ = 89756675334144. Its totient is φ = 3404021760000.

The previous prime is 18116527967963. The next prime is 18116527968053. The reversal of 18116527968000 is 86972561181.

It is a happy number.

18116527968000 is a `hidden beast` number, since 18 + 1 + 16 + 527 + 96 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×18116527968000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 248171615964 + ... + 248171616036.

Almost surely, 2^{18116527968000} is an apocalyptic number.

18116527968000 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 18116527968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44878337667072).

18116527968000 is an abundant number, since it is smaller than the sum of its proper divisors (71640147366144).

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

18116527968000 is a wasteful number, since it uses less digits than its factorization.

18116527968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 18116527968000 in words is "eighteen trillion, one hundred sixteen billion, five hundred twenty-seven million, nine hundred sixty-eight thousand".