161166033504000 has 6912 divisors, whose sum is σ = 796913071718400. Its totient is φ = 31269224448000.

The previous prime is 161166033503971. The next prime is 161166033504001. The reversal of 161166033504000 is 405330661161.

161166033504000 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 603 + 3 + 5 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161166033504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 763820063895 + ... + 763820064105.

Almost surely, 2^{161166033504000} is an apocalyptic number.

161166033504000 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 161166033504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398456535859200).

161166033504000 is an abundant number, since it is smaller than the sum of its proper divisors (635747038214400).

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

161166033504000 is a wasteful number, since it uses less digits than its factorization.

161166033504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 161166033504000 in words is "one hundred sixty-one trillion, one hundred sixty-six billion, thirty-three million, five hundred four thousand".