1165068140544 has 1088 divisors, whose sum is σ = 4566052270080. Its totient is φ = 284247982080.

The previous prime is 1165068140539. The next prime is 1165068140557. The reversal of 1165068140544 is 4450418605611.

1165068140544 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 0 + 68 + 1 + 40 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a super-3 number, since 3×1165068140544³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1165068140544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2316238597 + ... + 2316239099.

Almost surely, 2^{1165068140544} is an apocalyptic number.

1165068140544 is a gapful number since it is divisible by the number (14) 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 1165068140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283026135040).

1165068140544 is an abundant number, since it is smaller than the sum of its proper divisors (3400984129536).

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

1165068140544 is an equidigital number, since it uses as much as digits as its factorization.

1165068140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1165068140544 in words is "one trillion, one hundred sixty-five billion, sixty-eight million, one hundred forty thousand, five hundred forty-four".