289094267616 has 384 divisors, whose sum is σ = 983317708800. Its totient is φ = 72170956800.

The previous prime is 289094267593. The next prime is 289094267617. The reversal of 289094267616 is 616762490982.

It is a self number, because there is not a number n which added to its sum of digits gives 289094267616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289094267617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34139415 + ... + 34147881.

It is an arithmetic number, because the mean of its divisors is an integer number (2560723200).

Almost surely, 2^289094267616 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 289094267616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491658854400).

289094267616 is an abundant number, since it is smaller than the sum of its proper divisors (694223441184).

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

289094267616 is a wasteful number, since it uses less digits than its factorization.

289094267616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8678 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 289094267616 in words is "two hundred eighty-nine billion, ninety-four million, two hundred sixty-seven thousand, six hundred sixteen".