161470832745168 has 400 divisors, whose sum is σ = 478416842052864. Its totient is φ = 52562272619520.

The previous prime is 161470832745127. The next prime is 161470832745203. The reversal of 161470832745168 is 861547238074161.

161470832745168 is a `hidden beast` number, since 1 + 6 + 1 + 47 + 0 + 8 + 3 + 2 + 74 + 516 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6586064046 + ... + 6586088562.

Almost surely, 2^{161470832745168} is an apocalyptic number.

161470832745168 is a gapful number since it is divisible by the number (18) 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 161470832745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239208421026432).

161470832745168 is an abundant number, since it is smaller than the sum of its proper divisors (316946009307696).

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

161470832745168 is a wasteful number, since it uses less digits than its factorization.

161470832745168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25192 (or 25177 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 161470832745168 in words is "one hundred sixty-one trillion, four hundred seventy billion, eight hundred thirty-two million, seven hundred forty-five thousand, one hundred sixty-eight".