171160045056 has 2400 divisors, whose sum is σ = 758621445120. Its totient is φ = 37623398400.

The previous prime is 171160045027. The next prime is 171160045057. The reversal of 171160045056 is 650540061171.

It is a happy number.

171160045056 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 600 + 45 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×171160045056² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 171160045056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171160045057) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5521291761 + ... + 5521291791.

Almost surely, 2^171160045056 is an apocalyptic number.

171160045056 is a gapful number since it is divisible by the number (16) 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 171160045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379310722560).

171160045056 is an abundant number, since it is smaller than the sum of its proper divisors (587461400064).

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

171160045056 is a wasteful number, since it uses less digits than its factorization.

171160045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 171160045056 in words is "one hundred seventy-one billion, one hundred sixty million, forty-five thousand, fifty-six".