289994312916 has 288 divisors, whose sum is σ = 956440920960. Its totient is φ = 75137932800.

The previous prime is 289994312903. The next prime is 289994312917. The reversal of 289994312916 is 619213499982.

289994312916 is a `hidden beast` number, since 2 + 89 + 99 + 431 + 29 + 16 = 666.

It is a super-3 number, since 3×289994312916³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289994312917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24501336 + ... + 24513168.

It is an arithmetic number, because the mean of its divisors is an integer number (3320975420).

Almost surely, 2^289994312916 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 289994312916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478220460480).

289994312916 is an abundant number, since it is smaller than the sum of its proper divisors (666446608044).

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

289994312916 is a wasteful number, since it uses less digits than its factorization.

289994312916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12277 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The spelling of 289994312916 in words is "two hundred eighty-nine billion, nine hundred ninety-four million, three hundred twelve thousand, nine hundred sixteen".