23071172205312 has 1728 divisors, whose sum is σ = 88831664409600. Its totient is φ = 5887248998400.

The previous prime is 23071172205293. The next prime is 23071172205317. The reversal of 23071172205312 is 21350227117032.

23071172205312 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 117 + 2 + 2 + 0 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23071172205317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27498416989 + ... + 27498417827.

It is an arithmetic number, because the mean of its divisors is an integer number (51407213200).

Almost surely, 2^{23071172205312} is an apocalyptic number.

23071172205312 is a gapful number since it is divisible by the number (22) 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 23071172205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44415832204800).

23071172205312 is an abundant number, since it is smaller than the sum of its proper divisors (65760492204288).

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

23071172205312 is an equidigital number, since it uses as much as digits as its factorization.

23071172205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 23071172205312 in words is "twenty-three trillion, seventy-one billion, one hundred seventy-two million, two hundred five thousand, three hundred twelve".