289044012948768 has 576 divisors, whose sum is σ = 1042406678476800. Its totient is φ = 73790941593600.

The previous prime is 289044012948709. The next prime is 289044012948781. The reversal of 289044012948768 is 867849210440982.

It is a happy number.

289044012948768 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 440 + 12 + 94 + 87 + 6 + 8 = 666.

It is a super-3 number, since 3×289044012948768³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 289044012948696 and 289044012948705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666903973 + ... + 667337243.

It is an arithmetic number, because the mean of its divisors is an integer number (1809733816800).

Almost surely, 2^{289044012948768} is an apocalyptic number.

289044012948768 is a gapful number since it is divisible by the number (28) 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 289044012948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521203339238400).

289044012948768 is an abundant number, since it is smaller than the sum of its proper divisors (753362665528032).

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

289044012948768 is a wasteful number, since it uses less digits than its factorization.

289044012948768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433821 (or 433810 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 289044012948768 in words is "two hundred eighty-nine trillion, forty-four billion, twelve million, nine hundred forty-eight thousand, seven hundred sixty-eight".