166774920966144 has 416 divisors, whose sum is σ = 497980560224000. Its totient is φ = 55154182127616.

The previous prime is 166774920966041. The next prime is 166774920966161. The reversal of 166774920966144 is 441669029477661.

166774920966144 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 7 + 492 + 0 + 96 + 6 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31190369679 + ... + 31190375025.

Almost surely, 2^{166774920966144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166774920966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248990280112000).

166774920966144 is an abundant number, since it is smaller than the sum of its proper divisors (331205639257856).

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

166774920966144 is a wasteful number, since it uses less digits than its factorization.

166774920966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 166774920966144 in words is "one hundred sixty-six trillion, seven hundred seventy-four billion, nine hundred twenty million, nine hundred sixty-six thousand, one hundred forty-four".