289516057248 has 144 divisors (see below), whose sum is σ = 857927820960. Its totient is φ = 85360872960.

The previous prime is 289516057133. The next prime is 289516057273. The reversal of 289516057248 is 842750615982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92983 + ... + 766601.

It is an arithmetic number, because the mean of its divisors is an integer number (5957832090).

Almost surely, 2^289516057248 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 289516057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428963910480).

289516057248 is an abundant number, since it is smaller than the sum of its proper divisors (568411763712).

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

289516057248 is a wasteful number, since it uses less digits than its factorization.

289516057248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673691 (or 673672 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 289516057248 in words is "two hundred eighty-nine billion, five hundred sixteen million, fifty-seven thousand, two hundred forty-eight".