289184735687016 has 128 divisors (see below), whose sum is σ = 789555097497600. Its totient is φ = 87725016610560.

The previous prime is 289184735686993. The next prime is 289184735687041. The reversal of 289184735687016 is 610786537481982.

It is a super-2 number, since 2×289184735687016² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686722625 + ... + 1686894063.

It is an arithmetic number, because the mean of its divisors is an integer number (6168399199200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅289184735687016 = 578369471374032, but 3⋅289184735687016 = 867554207061048 is not.

Almost surely, 2^{289184735687016} is an apocalyptic number.

289184735687016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

289184735687016 is an abundant number, since it is smaller than the sum of its proper divisors (500370361810584).

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

289184735687016 is a wasteful number, since it uses less digits than its factorization.

289184735687016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247679 (or 247675 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 75.

The spelling of 289184735687016 in words is "two hundred eighty-nine trillion, one hundred eighty-four billion, seven hundred thirty-five million, six hundred eighty-seven thousand, sixteen".