1152086088384 has 1008 divisors, whose sum is σ = 4336979302656. Its totient is φ = 283994726400.

The previous prime is 1152086088371. The next prime is 1152086088389. The reversal of 1152086088384 is 4838806802511.

1152086088384 is a `hidden beast` number, since 1 + 1 + 5 + 20 + 8 + 608 + 8 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 1152086088384.

It is not an unprimeable number, because it can be changed into a prime (1152086088389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2499101914 + ... + 2499102374.

It is an arithmetic number, because the mean of its divisors is an integer number (4302558832).

Almost surely, 2^{1152086088384} is an apocalyptic number.

1152086088384 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 1152086088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168489651328).

1152086088384 is an abundant number, since it is smaller than the sum of its proper divisors (3184893214272).

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

1152086088384 is a wasteful number, since it uses less digits than its factorization.

1152086088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1152086088384 in words is "one trillion, one hundred fifty-two billion, eighty-six million, eighty-eight thousand, three hundred eighty-four".