289530214681344 has 648 divisors, whose sum is σ = 973524171044880. Its totient is φ = 76132467081216.

The previous prime is 289530214681343. The next prime is 289530214681361. The reversal of 289530214681344 is 443186412035982.

It is not an unprimeable number, because it can be changed into a prime (289530214681343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2143187752 + ... + 2143322840.

It is an arithmetic number, because the mean of its divisors is an integer number (1502352115810).

Almost surely, 2^{289530214681344} is an apocalyptic number.

289530214681344 is a gapful number since it is divisible by the number (24) 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 289530214681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486762085522440).

289530214681344 is an abundant number, since it is smaller than the sum of its proper divisors (683993956363536).

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

289530214681344 is a wasteful number, since it uses less digits than its factorization.

289530214681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135485 (or 135451 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 289530214681344 in words is "two hundred eighty-nine trillion, five hundred thirty billion, two hundred fourteen million, six hundred eighty-one thousand, three hundred forty-four".