9746085888000 has 3600 divisors, whose sum is σ = 46536684274080. Its totient is φ = 2006581248000.

The previous prime is 9746085887911. The next prime is 9746085888073. The reversal of 9746085888000 is 8885806479.

9746085888000 is a `hidden beast` number, since 9 + 7 + 46 + 0 + 8 + 588 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 89413631946 + ... + 89413632054.

Almost surely, 2^{9746085888000} is an apocalyptic number.

9746085888000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9746085888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23268342137040).

9746085888000 is an abundant number, since it is smaller than the sum of its proper divisors (36790598386080).

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

9746085888000 is a wasteful number, since it uses less digits than its factorization.

9746085888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 9746085888000 in words is "nine trillion, seven hundred forty-six billion, eighty-five million, eight hundred eighty-eight thousand".