289116075648 has 128 divisors (see below), whose sum is σ = 780293390400. Its totient is φ = 94835220480.

The previous prime is 289116075637. The next prime is 289116075683. The reversal of 289116075648 is 846570611982.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7191090 + ... + 7231182.

Almost surely, 2^289116075648 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 289116075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390146695200).

289116075648 is an abundant number, since it is smaller than the sum of its proper divisors (491177314752).

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

289116075648 is a wasteful number, since it uses less digits than its factorization.

289116075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40410 (or 40398 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 289116075648 in words is "two hundred eighty-nine billion, one hundred sixteen million, seventy-five thousand, six hundred forty-eight".