289204311168 has 512 divisors, whose sum is σ = 943110604800. Its totient is φ = 86845685760.

The previous prime is 289204311113. The next prime is 289204311181. The reversal of 289204311168 is 861113402982.

289204311168 is a `hidden beast` number, since 2 + 89 + 20 + 431 + 116 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176666446 + ... + 176668082.

It is an arithmetic number, because the mean of its divisors is an integer number (1842012900).

Almost surely, 2^289204311168 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 289204311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471555302400).

289204311168 is an abundant number, since it is smaller than the sum of its proper divisors (653906293632).

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

289204311168 is a wasteful number, since it uses less digits than its factorization.

289204311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 289204311168 in words is "two hundred eighty-nine billion, two hundred four million, three hundred eleven thousand, one hundred sixty-eight".