171252108761472 has 192 divisors, whose sum is σ = 502440108215760. Its totient is φ = 55968351129600.

The previous prime is 171252108761471. The next prime is 171252108761533. The reversal of 171252108761472 is 274167801252171.

171252108761472 is a `hidden beast` number, since 1 + 7 + 1 + 2 + 5 + 2 + 10 + 8 + 7 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171252108761471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87625738 + ... + 89558774.

Almost surely, 2^{171252108761472} is an apocalyptic number.

171252108761472 is a gapful number since it is divisible by the number (12) 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 171252108761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251220054107880).

171252108761472 is an abundant number, since it is smaller than the sum of its proper divisors (331187999454288).

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

171252108761472 is a wasteful number, since it uses less digits than its factorization.

171252108761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934561 (or 1934546 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 171252108761472 in words is "one hundred seventy-one trillion, two hundred fifty-two billion, one hundred eight million, seven hundred sixty-one thousand, four hundred seventy-two".