171112923360 has 1152 divisors, whose sum is σ = 681793459200. Its totient is φ = 39982694400.

The previous prime is 171112923349. The next prime is 171112923379. The reversal of 171112923360 is 63329211171.

171112923360 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 1 + 292 + 3 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1694187310 + ... + 1694187410.

It is an arithmetic number, because the mean of its divisors is an integer number (591834600).

Almost surely, 2^171112923360 is an apocalyptic number.

171112923360 is a gapful number since it is divisible by the number (10) 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 171112923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340896729600).

171112923360 is an abundant number, since it is smaller than the sum of its proper divisors (510680535840).

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

171112923360 is a wasteful number, since it uses less digits than its factorization.

171112923360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

It can be divided in two parts, 1711129 and 23360, that added together give a square (1734489 = 1317²).

The spelling of 171112923360 in words is "one hundred seventy-one billion, one hundred twelve million, nine hundred twenty-three thousand, three hundred sixty".