489073117001664 has 448 divisors, whose sum is σ = 1441974616363008. Its totient is φ = 145278185472000.

The previous prime is 489073117001641. The next prime is 489073117001681. The reversal of 489073117001664 is 466100711370984.

It is a super-3 number, since 3×489073117001664³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63081786012 + ... + 63081793764.

It is an arithmetic number, because the mean of its divisors is an integer number (3218693340096).

Almost surely, 2^{489073117001664} 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 489073117001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720987308181504).

489073117001664 is an abundant number, since it is smaller than the sum of its proper divisors (952901499361344).

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

489073117001664 is a wasteful number, since it uses less digits than its factorization.

489073117001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 489073117001664 in words is "four hundred eighty-nine trillion, seventy-three billion, one hundred seventeen million, one thousand, six hundred sixty-four".