166346611200 has 2880 divisors, whose sum is σ = 832960972800. Its totient is φ = 32049561600.

The previous prime is 166346611199. The next prime is 166346611201. The reversal of 166346611200 is 2116643661.

It is a happy number.

166346611200 is a `hidden beast` number, since 1 + 6 + 6 + 34 + 6 + 611 + 2 + 0 + 0 = 666.

166346611200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166346611199) and next prime (166346611201).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166346611201) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 3539289577 + ... + 3539289623.

It is an arithmetic number, because the mean of its divisors is an integer number (289222560).

Almost surely, 2^166346611200 is an apocalyptic number.

166346611200 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 166346611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416480486400).

166346611200 is an abundant number, since it is smaller than the sum of its proper divisors (666614361600).

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

166346611200 is a wasteful number, since it uses less digits than its factorization.

166346611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 166346611200 in words is "one hundred sixty-six billion, three hundred forty-six million, six hundred eleven thousand, two hundred".