166117734144 has 180 divisors, whose sum is σ = 503732210520. Its totient is φ = 54433658880.

The previous prime is 166117734143. The next prime is 166117734169. The reversal of 166117734144 is 441437711661.

166117734144 is a `hidden beast` number, since 1 + 6 + 61 + 177 + 3 + 414 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166117734144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166117734143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1155534 + ... + 1291314.

Almost surely, 2^166117734144 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 166117734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251866105260).

166117734144 is an abundant number, since it is smaller than the sum of its proper divisors (337614476376).

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

166117734144 is an equidigital number, since it uses as much as digits as its factorization.

166117734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135868 (or 135845 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 166117734144 in words is "one hundred sixty-six billion, one hundred seventeen million, seven hundred thirty-four thousand, one hundred forty-four".