289103328864 has 432 divisors, whose sum is σ = 983280261600. Its totient is φ = 80540006400.

The previous prime is 289103328859. The next prime is 289103328883. The reversal of 289103328864 is 468823301982.

289103328864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×289103328864² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 289103328864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166055034 + ... + 166056774.

Almost surely, 2^289103328864 is an apocalyptic number.

289103328864 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 289103328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491640130800).

289103328864 is an abundant number, since it is smaller than the sum of its proper divisors (694176932736).

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

289103328864 is a wasteful number, since it uses less digits than its factorization.

289103328864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 289103328864 in words is "two hundred eighty-nine billion, one hundred three million, three hundred twenty-eight thousand, eight hundred sixty-four".