9485068164000 has 1536 divisors, whose sum is σ = 39410927861760. Its totient is φ = 1960003584000.

The previous prime is 9485068163999. The next prime is 9485068164007. The reversal of 9485068164000 is 4618605849.

It is not an unprimeable number, because it can be changed into a prime (9485068164007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1144567857 + ... + 1144576143.

It is an arithmetic number, because the mean of its divisors is an integer number (25658156160).

Almost surely, 2^{9485068164000} 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 9485068164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705463930880).

9485068164000 is an abundant number, since it is smaller than the sum of its proper divisors (29925859697760).

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

9485068164000 is a wasteful number, since it uses less digits than its factorization.

9485068164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 9485068164000 in words is "nine trillion, four hundred eighty-five billion, sixty-eight million, one hundred sixty-four thousand".