181801689216 has 256 divisors, whose sum is σ = 575295144960. Its totient is φ = 49783320576.

The previous prime is 181801689191. The next prime is 181801689229. The reversal of 181801689216 is 612986108181.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649911 + ... + 6677193.

It is an arithmetic number, because the mean of its divisors is an integer number (2247246660).

Almost surely, 2^181801689216 is an apocalyptic number.

181801689216 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 181801689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287647572480).

181801689216 is an abundant number, since it is smaller than the sum of its proper divisors (393493455744).

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

181801689216 is a wasteful number, since it uses less digits than its factorization.

181801689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27411 (or 27399 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 51.

The spelling of 181801689216 in words is "one hundred eighty-one billion, eight hundred one million, six hundred eighty-nine thousand, two hundred sixteen".