1106286864000 has 128 divisors (see below), whose sum is σ = 3667341113280. Its totient is φ = 295009817600.

The previous prime is 1106286863993. The next prime is 1106286864019. The reversal of 1106286864000 is 4686826011.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 11475822 + ... + 11571821.

Almost surely, 2^{1106286864000} is an apocalyptic number.

1106286864000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106286864000 is an abundant number, since it is smaller than the sum of its proper divisors (2561054249280).

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

1106286864000 is an equidigital number, since it uses as much as digits as its factorization.

1106286864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23047675 (or 23047653 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 1106286864000 in words is "one trillion, one hundred six billion, two hundred eighty-six million, eight hundred sixty-four thousand".