171114966720 has 896 divisors, whose sum is σ = 655003008000. Its totient is φ = 41923215360.

The previous prime is 171114966679. The next prime is 171114966727. The reversal of 171114966720 is 27669411171.

171114966720 is a `hidden beast` number, since 1 + 71 + 11 + 496 + 67 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (171114966727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1306221055 + ... + 1306221185.

Almost surely, 2^171114966720 is an apocalyptic number.

171114966720 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 171114966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327501504000).

171114966720 is an abundant number, since it is smaller than the sum of its proper divisors (483888041280).

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

171114966720 is a wasteful number, since it uses less digits than its factorization.

171114966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 171114966720 in words is "one hundred seventy-one billion, one hundred fourteen million, nine hundred sixty-six thousand, seven hundred twenty".