289363741806048 has 384 divisors, whose sum is σ = 965111397949440. Its totient is φ = 73847263887360.

The previous prime is 289363741806037. The next prime is 289363741806109. The reversal of 289363741806048 is 840608147363982.

It is a super-2 number, since 2×289363741806048² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3468840436 + ... + 3468923852.

It is an arithmetic number, because the mean of its divisors is an integer number (2513310932160).

Almost surely, 2^{289363741806048} is an apocalyptic number.

289363741806048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289363741806048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482555698974720).

289363741806048 is an abundant number, since it is smaller than the sum of its proper divisors (675747656143392).

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

289363741806048 is a wasteful number, since it uses less digits than its factorization.

289363741806048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96290 (or 96282 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 289363741806048 in words is "two hundred eighty-nine trillion, three hundred sixty-three billion, seven hundred forty-one million, eight hundred six thousand, forty-eight".