161093473841664 has 2880 divisors, whose sum is σ = 611041360849920. Its totient is φ = 40472186388480.

The previous prime is 161093473841653. The next prime is 161093473841683. The reversal of 161093473841664 is 466148374390161.

161093473841664 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 93 + 4 + 7 + 384 + 166 + 4 = 666.

It is a super-2 number, since 2×161093473841664² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1158945854907 + ... + 1158945855045.

It is an arithmetic number, because the mean of its divisors is an integer number (212167139184).

Almost surely, 2^{161093473841664} is an apocalyptic number.

161093473841664 is a gapful number since it is divisible by the number (14) 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 161093473841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305520680424960).

161093473841664 is an abundant number, since it is smaller than the sum of its proper divisors (449947887008256).

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

161093473841664 is a wasteful number, since it uses less digits than its factorization.

161093473841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 161093473841664 in words is "one hundred sixty-one trillion, ninety-three billion, four hundred seventy-three million, eight hundred forty-one thousand, six hundred sixty-four".