166214508000 has 1152 divisors, whose sum is σ = 635181595776. Its totient is φ = 37822464000.

The previous prime is 166214507993. The next prime is 166214508041. The reversal of 166214508000 is 805412661.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2724827970 + ... + 2724828030.

It is an arithmetic number, because the mean of its divisors is an integer number (551372913).

Almost surely, 2^166214508000 is an apocalyptic number.

166214508000 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 166214508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317590797888).

166214508000 is an abundant number, since it is smaller than the sum of its proper divisors (468967087776).

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

166214508000 is a wasteful number, since it uses less digits than its factorization.

166214508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 166214508000 in words is "one hundred sixty-six billion, two hundred fourteen million, five hundred eight thousand".