1200164475168 has 144 divisors (see below), whose sum is σ = 3614344022016. Its totient is φ = 376458270720.

The previous prime is 1200164475127. The next prime is 1200164475179. The reversal of 1200164475168 is 8615744610021.

1200164475168 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 16 + 4 + 475 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 34759033 + ... + 34793543.

It is an arithmetic number, because the mean of its divisors is an integer number (25099611264).

Almost surely, 2^{1200164475168} is an apocalyptic number.

1200164475168 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 1200164475168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807172011008).

1200164475168 is an abundant number, since it is smaller than the sum of its proper divisors (2414179546848).

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

1200164475168 is a wasteful number, since it uses less digits than its factorization.

1200164475168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41647 (or 41636 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1200164475168 in words is "one trillion, two hundred billion, one hundred sixty-four million, four hundred seventy-five thousand, one hundred sixty-eight".