161166834464832 has 448 divisors, whose sum is σ = 567563326095360. Its totient is φ = 43848063756288.

The previous prime is 161166834464813. The next prime is 161166834464843. The reversal of 161166834464832 is 238464438661161.

161166834464832 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 68 + 34 + 464 + 83 + 2 = 666.

161166834464832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 161166834464832.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60741498 + ... + 63339270.

It is an arithmetic number, because the mean of its divisors is an integer number (1266882424320).

Almost surely, 2^{161166834464832} is an apocalyptic number.

161166834464832 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 161166834464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283781663047680).

161166834464832 is an abundant number, since it is smaller than the sum of its proper divisors (406396491630528).

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

161166834464832 is a wasteful number, since it uses less digits than its factorization.

161166834464832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598047 (or 2598031 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 161166834464832 in words is "one hundred sixty-one trillion, one hundred sixty-six billion, eight hundred thirty-four million, four hundred sixty-four thousand, eight hundred thirty-two".