1045599591168 has 648 divisors, whose sum is σ = 3617080019280. Its totient is φ = 298120642560.

The previous prime is 1045599591143. The next prime is 1045599591203. The reversal of 1045599591168 is 8611959955401.

1045599591168 is a `hidden beast` number, since 1 + 0 + 4 + 559 + 9 + 5 + 9 + 11 + 68 = 666.

1045599591168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314086528 + ... + 314089856.

It is an arithmetic number, because the mean of its divisors is an integer number (5581913610).

Almost surely, 2^{1045599591168} is an apocalyptic number.

1045599591168 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 1045599591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808540009640).

1045599591168 is an abundant number, since it is smaller than the sum of its proper divisors (2571480428112).

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

1045599591168 is an frugal number, since it uses more digits than its factorization.

1045599591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 63.

The spelling of 1045599591168 in words is "one trillion, forty-five billion, five hundred ninety-nine million, five hundred ninety-one thousand, one hundred sixty-eight".