985382590464 has 288 divisors, whose sum is σ = 3117313836000. Its totient is φ = 298476896256.

The previous prime is 985382590459. The next prime is 985382590531. The reversal of 985382590464 is 464095283589.

985382590464 is a `hidden beast` number, since 9 + 8 + 5 + 3 + 82 + 5 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9032757 + ... + 9141195.

It is an arithmetic number, because the mean of its divisors is an integer number (10824006375).

Almost surely, 2^985382590464 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 985382590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558656918000).

985382590464 is an abundant number, since it is smaller than the sum of its proper divisors (2131931245536).

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

985382590464 is a wasteful number, since it uses less digits than its factorization.

985382590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108513 (or 108490 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 985382590464 in words is "nine hundred eighty-five billion, three hundred eighty-two million, five hundred ninety thousand, four hundred sixty-four".