90585841248 has 288 divisors, whose sum is σ = 300736800000. Its totient is φ = 25327531008.

The previous prime is 90585841193. The next prime is 90585841273. The reversal of 90585841248 is 84214858509.

90585841248 is a `hidden beast` number, since 9 + 0 + 5 + 8 + 584 + 12 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 90585841194 and 90585841203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53316303 + ... + 53318001.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225000).

Almost surely, 2^90585841248 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 90585841248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400000).

90585841248 is an abundant number, since it is smaller than the sum of its proper divisors (210150958752).

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

90585841248 is a wasteful number, since it uses less digits than its factorization.

90585841248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 90585841248 in words is "ninety billion, five hundred eighty-five million, eight hundred forty-one thousand, two hundred forty-eight".