289753716004812 has 144 divisors (see below), whose sum is σ = 746288044669440. Its totient is φ = 94775513145600.

The previous prime is 289753716004793. The next prime is 289753716004813. The reversal of 289753716004812 is 218400617357982.

289753716004812 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 5 + 3 + 7 + 1 + 600 + 4 + 8 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 289753716004812.

It is not an unprimeable number, because it can be changed into a prime (289753716004813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260569489 + ... + 261679127.

It is an arithmetic number, because the mean of its divisors is an integer number (5182555865760).

It is a 1-persistent number, because it is pandigital, but 2⋅289753716004812 = 579507432009624 is not.

Almost surely, 2^{289753716004812} 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 289753716004812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373144022334720).

289753716004812 is an abundant number, since it is smaller than the sum of its proper divisors (456534328664628).

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

289753716004812 is a wasteful number, since it uses less digits than its factorization.

289753716004812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110324 (or 1110319 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 289753716004812 in words is "two hundred eighty-nine trillion, seven hundred fifty-three billion, seven hundred sixteen million, four thousand, eight hundred twelve".