9485085312 has 128 divisors (see below), whose sum is σ = 28096675200. Its totient is φ = 3150120960.

The previous prime is 9485085307. The next prime is 9485085317. The reversal of 9485085312 is 2135805849.

9485085312 is a `hidden beast` number, since 94 + 8 + 508 + 53 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9485085307) and next prime (9485085317).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9485085317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966253 + ... + 976019.

It is an arithmetic number, because the mean of its divisors is an integer number (219505275).

Almost surely, 2^9485085312 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 9485085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048337600).

9485085312 is an abundant number, since it is smaller than the sum of its proper divisors (18611589888).

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

9485085312 is a wasteful number, since it uses less digits than its factorization.

9485085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9485085312 is about 97391.4026595777. The cubic root of 9485085312 is about 2116.8028609440.

The spelling of 9485085312 in words is "nine billion, four hundred eighty-five million, eighty-five thousand, three hundred twelve".