289536641856 has 896 divisors, whose sum is σ = 1182955622400. Its totient is φ = 67045294080.

The previous prime is 289536641843. The next prime is 289536641893. The reversal of 289536641856 is 658146635982.

It is a happy number.

289536641856 is a `hidden beast` number, since 2 + 8 + 9 + 536 + 6 + 41 + 8 + 56 = 666.

It is a super-2 number, since 2×289536641856² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 289536641793 and 289536641802.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 42973720 + ... + 42980456.

Almost surely, 2^289536641856 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 289536641856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591477811200).

289536641856 is an abundant number, since it is smaller than the sum of its proper divisors (893418980544).

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

289536641856 is a wasteful number, since it uses less digits than its factorization.

289536641856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6796 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 289536641856 in words is "two hundred eighty-nine billion, five hundred thirty-six million, six hundred forty-one thousand, eight hundred fifty-six".