166989869568 has 800 divisors, whose sum is σ = 555864891120. Its totient is φ = 49686773760.

The previous prime is 166989869567. The next prime is 166989869569. The reversal of 166989869568 is 865968989661.

It is an interprime number because it is at equal distance from previous prime (166989869567) and next prime (166989869569).

It can be written as a sum of positive squares in 8 ways, for example, as 97014806784 + 69975062784 = 311472^2 + 264528^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (166989869567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1532017098 + ... + 1532017206.

Almost surely, 2^166989869568 is an apocalyptic number.

166989869568 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 166989869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277932445560).

166989869568 is an abundant number, since it is smaller than the sum of its proper divisors (388875021552).

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

166989869568 is a wasteful number, since it uses less digits than its factorization.

166989869568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its digits is 2418647040, while the sum is 81.

The spelling of 166989869568 in words is "one hundred sixty-six billion, nine hundred eighty-nine million, eight hundred sixty-nine thousand, five hundred sixty-eight".