1136981210688 has 252 divisors, whose sum is σ = 3544738076880. Its totient is φ = 347461332480.

The previous prime is 1136981210641. The next prime is 1136981210711. The reversal of 1136981210688 is 8860121896311.

It is a happy number.

1136981210688 is a `hidden beast` number, since 1 + 1 + 369 + 8 + 1 + 210 + 68 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10463131 + ... + 10571237.

It is an arithmetic number, because the mean of its divisors is an integer number (14066420940).

Almost surely, 2^{1136981210688} is an apocalyptic number.

1136981210688 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 1136981210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772369038440).

1136981210688 is an abundant number, since it is smaller than the sum of its proper divisors (2407756866192).

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

1136981210688 is a wasteful number, since it uses less digits than its factorization.

1136981210688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108206 (or 108162 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1136981210688 in words is "one trillion, one hundred thirty-six billion, nine hundred eighty-one million, two hundred ten thousand, six hundred eighty-eight".