166779633216 has 168 divisors, whose sum is σ = 513584927616. Its totient is φ = 47626306560.

The previous prime is 166779633211. The next prime is 166779633217. The reversal of 166779633216 is 612336977661.

166779633216 is digitally balanced in base 2, 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 (168).

It is not an unprimeable number, because it can be changed into a prime (166779633211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25125450 + ... + 25132086.

Almost surely, 2^166779633216 is an apocalyptic number.

166779633216 is a gapful number since it is divisible by the number (16) 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 166779633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256792463808).

166779633216 is an abundant number, since it is smaller than the sum of its proper divisors (346805294400).

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

166779633216 is a wasteful number, since it uses less digits than its factorization.

166779633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9320 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 57.

The spelling of 166779633216 in words is "one hundred sixty-six billion, seven hundred seventy-nine million, six hundred thirty-three thousand, two hundred sixteen".