166145124499200 has 6912 divisors, whose sum is σ = 860702511513600. Its totient is φ = 30270711398400.

The previous prime is 166145124499187. The next prime is 166145124499201. The reversal of 166145124499200 is 2994421541661.

166145124499200 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 4 + 5 + 124 + 499 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166145124499201) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 287946489312 + ... + 287946489888.

It is an arithmetic number, because the mean of its divisors is an integer number (124522932800).

Almost surely, 2^{166145124499200} is an apocalyptic number.

166145124499200 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 166145124499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430351255756800).

166145124499200 is an abundant number, since it is smaller than the sum of its proper divisors (694557387014400).

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

166145124499200 is a wasteful number, since it uses less digits than its factorization.

166145124499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 166145124499200 in words is "one hundred sixty-six trillion, one hundred forty-five billion, one hundred twenty-four million, four hundred ninety-nine thousand, two hundred".