161666100576 has 72 divisors (see below), whose sum is σ = 464201534160. Its totient is φ = 53365499136.

The previous prime is 161666100571. The next prime is 161666100577. The reversal of 161666100576 is 675001666161.

161666100576 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 (72).

It is a super-2 number, since 2×161666100576² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161666100571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2695291 + ... + 2754618.

It is an arithmetic number, because the mean of its divisors is an integer number (6447243530).

Almost surely, 2^161666100576 is an apocalyptic number.

161666100576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

161666100576 is an abundant number, since it is smaller than the sum of its proper divisors (302535433584).

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

161666100576 is a wasteful number, since it uses less digits than its factorization.

161666100576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450028 (or 5450017 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 161666100576 in words is "one hundred sixty-one billion, six hundred sixty-six million, one hundred thousand, five hundred seventy-six".