289745273744 has 80 divisors (see below), whose sum is σ = 615103599600. Its totient is φ = 131605512192.

The previous prime is 289745273711. The next prime is 289745273749. The reversal of 289745273744 is 447372547982.

It can be written as a sum of positive squares in 8 ways, for example, as 46388544400 + 243356729344 = 215380^2 + 493312^2 .

It is a super-3 number, since 3×289745273744³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (289745273749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46512422 + ... + 46518650.

It is an arithmetic number, because the mean of its divisors is an integer number (7688794995).

Almost surely, 2^289745273744 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 289745273744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307551799800).

289745273744 is an abundant number, since it is smaller than the sum of its proper divisors (325358325856).

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

289745273744 is a wasteful number, since it uses less digits than its factorization.

289745273744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12180 (or 12174 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 62.

The spelling of 289745273744 in words is "two hundred eighty-nine billion, seven hundred forty-five million, two hundred seventy-three thousand, seven hundred forty-four".