289967223168 has 384 divisors, whose sum is σ = 998680082400. Its totient is φ = 82585681920.

The previous prime is 289967223163. The next prime is 289967223253. The reversal of 289967223168 is 861322769982.

289967223168 is a `hidden beast` number, since 289 + 9 + 67 + 2 + 231 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289967223163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57066388 + ... + 57071468.

Almost surely, 2^289967223168 is an apocalyptic number.

289967223168 is a gapful number since it is divisible by the number (28) 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 289967223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499340041200).

289967223168 is an abundant number, since it is smaller than the sum of its proper divisors (708712859232).

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

289967223168 is a wasteful number, since it uses less digits than its factorization.

289967223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5430 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 289967223168 in words is "two hundred eighty-nine billion, nine hundred sixty-seven million, two hundred twenty-three thousand, one hundred sixty-eight".