166158615168 has 1920 divisors, whose sum is σ = 693837619200. Its totient is φ = 38429614080.

The previous prime is 166158615127. The next prime is 166158615193. The reversal of 166158615168 is 861516851661.

It is a happy number.

166158615168 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 5 + 8 + 615 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5359955313 + ... + 5359955343.

It is an arithmetic number, because the mean of its divisors is an integer number (361373760).

Almost surely, 2^166158615168 is an apocalyptic number.

166158615168 is a gapful number since it is divisible by the number (18) 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 166158615168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346918809600).

166158615168 is an abundant number, since it is smaller than the sum of its proper divisors (527679004032).

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

166158615168 is a wasteful number, since it uses less digits than its factorization.

166158615168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 166158615168 in words is "one hundred sixty-six billion, one hundred fifty-eight million, six hundred fifteen thousand, one hundred sixty-eight".