166541690714112 has 576 divisors, whose sum is σ = 581179015872000. Its totient is φ = 44881951260672.

The previous prime is 166541690714099. The next prime is 166541690714227. The reversal of 166541690714112 is 211417096145661.

166541690714112 is a `hidden beast` number, since 1 + 6 + 6 + 541 + 6 + 90 + 7 + 1 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×166541690714112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561235093 + ... + 561531755.

It is an arithmetic number, because the mean of its divisors is an integer number (1008991347000).

Almost surely, 2^{166541690714112} is an apocalyptic number.

166541690714112 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 166541690714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290589507936000).

166541690714112 is an abundant number, since it is smaller than the sum of its proper divisors (414637325157888).

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

166541690714112 is a wasteful number, since it uses less digits than its factorization.

166541690714112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296946 (or 296923 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 166541690714112 in words is "one hundred sixty-six trillion, five hundred forty-one billion, six hundred ninety million, seven hundred fourteen thousand, one hundred twelve".