201829666896 has 960 divisors, whose sum is σ = 722890874880. Its totient is φ = 53819251200.

The previous prime is 201829666877. The next prime is 201829666901. The reversal of 201829666896 is 698666928102.

201829666896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3012383055 + ... + 3012383121.

It is an arithmetic number, because the mean of its divisors is an integer number (753011328).

Almost surely, 2^201829666896 is an apocalyptic number.

201829666896 is a gapful number since it is divisible by the number (26) 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 201829666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361445437440).

201829666896 is an abundant number, since it is smaller than the sum of its proper divisors (521061207984).

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

201829666896 is a wasteful number, since it uses less digits than its factorization.

201829666896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 201829666896 in words is "two hundred one billion, eight hundred twenty-nine million, six hundred sixty-six thousand, eight hundred ninety-six".