9172172646000 has 2560 divisors, whose sum is σ = 42263934935040. Its totient is φ = 1849817088000.

The previous prime is 9172172645921. The next prime is 9172172646001. The reversal of 9172172646000 is 6462712719.

9172172646000 is a `hidden beast` number, since 9 + 1 + 7 + 2 + 17 + 26 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9172172646001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11090897587 + ... + 11090898413.

It is an arithmetic number, because the mean of its divisors is an integer number (16509349584).

Almost surely, 2^{9172172646000} is an apocalyptic number.

9172172646000 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 9172172646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21131967467520).

9172172646000 is an abundant number, since it is smaller than the sum of its proper divisors (33091762289040).

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

9172172646000 is a wasteful number, since it uses less digits than its factorization.

9172172646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 9172172646000 in words is "nine trillion, one hundred seventy-two billion, one hundred seventy-two million, six hundred forty-six thousand".