9085536994248 has 1536 divisors, whose sum is σ = 33116428800000. Its totient is φ = 2205451100160.

The previous prime is 9085536994241. The next prime is 9085536994249. The reversal of 9085536994248 is 8424996355809.

9085536994248 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 536 + 9 + 9 + 42 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9085536994241) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23356136038 + ... + 23356136426.

It is an arithmetic number, because the mean of its divisors is an integer number (21560175000).

Almost surely, 2^{9085536994248} 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 9085536994248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558214400000).

9085536994248 is an abundant number, since it is smaller than the sum of its proper divisors (24030891805752).

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

9085536994248 is a wasteful number, since it uses less digits than its factorization.

9085536994248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 9085536994248 in words is "nine trillion, eighty-five billion, five hundred thirty-six million, nine hundred ninety-four thousand, two hundred forty-eight".