180198398196036 has 288 divisors, whose sum is σ = 528211781959680. Its totient is φ = 51222602188800.

The previous prime is 180198398196001. The next prime is 180198398196043. The reversal of 180198398196036 is 630691893891081.

180198398196036 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 9 + 8 + 3 + 9 + 8 + 1 + 9 + 603 + 6 = 666.

180198398196036 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180198398196036² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10788376861 + ... + 10788393563.

It is an arithmetic number, because the mean of its divisors is an integer number (1834068687360).

Almost surely, 2^{180198398196036} 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 180198398196036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264105890979840).

180198398196036 is an abundant number, since it is smaller than the sum of its proper divisors (348013383763644).

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

180198398196036 is a wasteful number, since it uses less digits than its factorization.

180198398196036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30767 (or 30762 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 180198398196036 in words is "one hundred eighty trillion, one hundred ninety-eight billion, three hundred ninety-eight million, one hundred ninety-six thousand, thirty-six".