166844033134272 has 168 divisors, whose sum is σ = 515098151808240. Its totient is φ = 51328345835520.

The previous prime is 166844033134253. The next prime is 166844033134283. The reversal of 166844033134272 is 272431330448661.

166844033134272 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 4 + 4 + 0 + 331 + 34 + 272 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44714254 + ... + 48301682.

It is an arithmetic number, because the mean of its divisors is an integer number (3066060427430).

Almost surely, 2^{166844033134272} is an apocalyptic number.

166844033134272 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 166844033134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257549075904120).

166844033134272 is an abundant number, since it is smaller than the sum of its proper divisors (348254118673968).

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

166844033134272 is a wasteful number, since it uses less digits than its factorization.

166844033134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593671 (or 3593658 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 166844033134272 in words is "one hundred sixty-six trillion, eight hundred forty-four billion, thirty-three million, one hundred thirty-four thousand, two hundred seventy-two".