288833116845 has 48 divisors (see below), whose sum is σ = 578935848960. Its totient is φ = 121881223296.

The previous prime is 288833116813. The next prime is 288833116849. The reversal of 288833116845 is 548611338882.

It is not a de Polignac number, because 288833116845 - 2⁵ = 288833116813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288833116849) by changing a digit.

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, 15104685 + ... + 15123794.

It is an arithmetic number, because the mean of its divisors is an integer number (12061163520).

Almost surely, 2^288833116845 is an apocalyptic number.

It is an amenable number.

288833116845 is an abundant number, since it is smaller than the sum of its proper divisors (290102732115).

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

288833116845 is a wasteful number, since it uses less digits than its factorization.

288833116845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30228514 (or 30228507 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 57.

The spelling of 288833116845 in words is "two hundred eighty-eight billion, eight hundred thirty-three million, one hundred sixteen thousand, eight hundred forty-five".