166143121362600 has 192 divisors, whose sum is σ = 518376366134400. Its totient is φ = 44018206202880.

The previous prime is 166143121362599. The next prime is 166143121362607. The reversal of 166143121362600 is 6263121341661.

It is a happy number.

It is a super-2 number, since 2×166143121362600² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166143121362607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995327946 + ... + 995494854.

It is an arithmetic number, because the mean of its divisors is an integer number (2699876906950).

Almost surely, 2^{166143121362600} is an apocalyptic number.

166143121362600 is a gapful number since it is divisible by the number (10) 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 166143121362600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259188183067200).

166143121362600 is an abundant number, since it is smaller than the sum of its proper divisors (352233244771800).

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

166143121362600 is a wasteful number, since it uses less digits than its factorization.

166143121362600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177652 (or 177643 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 166143121362600 in words is "one hundred sixty-six trillion, one hundred forty-three billion, one hundred twenty-one million, three hundred sixty-two thousand, six hundred".