289642966878944 has 192 divisors, whose sum is σ = 675565681029120. Its totient is φ = 119621176565760.

The previous prime is 289642966878907. The next prime is 289642966878953. The reversal of 289642966878944 is 449878669246982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572439202 + ... + 1572623390.

It is an arithmetic number, because the mean of its divisors is an integer number (3518571255360).

Almost surely, 2^{289642966878944} 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 289642966878944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337782840514560).

289642966878944 is an abundant number, since it is smaller than the sum of its proper divisors (385922714150176).

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

289642966878944 is a wasteful number, since it uses less digits than its factorization.

289642966878944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185193 (or 185185 counting only the distinct ones).

The product of its digits is 144473849856, while the sum is 92.

The spelling of 289642966878944 in words is "two hundred eighty-nine trillion, six hundred forty-two billion, nine hundred sixty-six million, eight hundred seventy-eight thousand, nine hundred forty-four".