1194013845504 has 288 divisors, whose sum is σ = 3527156472840. Its totient is φ = 389029036032.

The previous prime is 1194013845461. The next prime is 1194013845517. The reversal of 1194013845504 is 4055483104911.

1194013845504 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 0 + 13 + 84 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342365414400 + 851648431104 = 585120^2 + 922848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1194013845504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152041642 + ... + 152049494.

Almost surely, 2^{1194013845504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1194013845504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763578236420).

1194013845504 is an abundant number, since it is smaller than the sum of its proper divisors (2333142627336).

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

1194013845504 is a wasteful number, since it uses less digits than its factorization.

1194013845504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1194013845504 in words is "one trillion, one hundred ninety-four billion, thirteen million, eight hundred forty-five thousand, five hundred four".