181998018216 has 192 divisors, whose sum is σ = 604165910400. Its totient is φ = 48333003264.

The previous prime is 181998018187. The next prime is 181998018233. The reversal of 181998018216 is 612810899181.

It is a super-3 number, since 3×181998018216³ (a number of 35 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 328230 + ... + 686826.

It is an arithmetic number, because the mean of its divisors is an integer number (3146697450).

Almost surely, 2^181998018216 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 181998018216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302082955200).

181998018216 is an abundant number, since it is smaller than the sum of its proper divisors (422167892184).

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

181998018216 is a wasteful number, since it uses less digits than its factorization.

181998018216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358688 (or 358681 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 181998018216 in words is "one hundred eighty-one billion, nine hundred ninety-eight million, eighteen thousand, two hundred sixteen".