201288324096 has 132 divisors (see below), whose sum is σ = 582238354932. Its totient is φ = 66978054144.

The previous prime is 201288324091. The next prime is 201288324113. The reversal of 201288324096 is 690423882102.

201288324096 is a `hidden beast` number, since 201 + 2 + 8 + 8 + 32 + 409 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98847360000 + 102440964096 = 314400^2 + 320064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201288324091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5298706 + ... + 5336558.

Almost surely, 2^201288324096 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 201288324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291119177466).

201288324096 is an abundant number, since it is smaller than the sum of its proper divisors (380950030836).

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

201288324096 is a wasteful number, since it uses less digits than its factorization.

201288324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38456 (or 38435 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 201288324096 in words is "two hundred one billion, two hundred eighty-eight million, three hundred twenty-four thousand, ninety-six".