289349319744 has 315 divisors, whose sum is σ = 889975794213. Its totient is φ = 92951193600.

The previous prime is 289349319739. The next prime is 289349319767. The reversal of 289349319744 is 447913943982.

The square root of 289349319744 is 537912.

It is a perfect power (a square), and thus also a powerful number.

289349319744 is a `hidden beast` number, since 2 + 8 + 93 + 493 + 19 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 217611054144 + 71738265600 = 466488^2 + 267840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1200619464 + ... + 1200619704.

Almost surely, 2^289349319744 is an apocalyptic number.

289349319744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

289349319744 is the 537912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289349319744

289349319744 is an abundant number, since it is smaller than the sum of its proper divisors (600626474469).

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

289349319744 is an frugal number, since it uses more digits than its factorization.

289349319744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 277 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 289349319744 in words is "two hundred eighty-nine billion, three hundred forty-nine million, three hundred nineteen thousand, seven hundred forty-four".