1185381707328 has 672 divisors, whose sum is σ = 4434041830400. Its totient is φ = 294008942592.

The previous prime is 1185381707297. The next prime is 1185381707333. The reversal of 1185381707328 is 8237071835811.

1185381707328 is a `hidden beast` number, since 1 + 1 + 8 + 538 + 1 + 70 + 7 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 138426375 + ... + 138434937.

Almost surely, 2^{1185381707328} is an apocalyptic number.

1185381707328 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 1185381707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217020915200).

1185381707328 is an abundant number, since it is smaller than the sum of its proper divisors (3248660123072).

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

1185381707328 is a wasteful number, since it uses less digits than its factorization.

1185381707328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1185381707328 in words is "one trillion, one hundred eighty-five billion, three hundred eighty-one million, seven hundred seven thousand, three hundred twenty-eight".