1011182783688 has 768 divisors, whose sum is σ = 3706811596800. Its totient is φ = 241252577280.

The previous prime is 1011182783641. The next prime is 1011182783707. The reversal of 1011182783688 is 8863872811101.

1011182783688 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 8 + 278 + 368 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 372716220 + ... + 372718932.

It is an arithmetic number, because the mean of its divisors is an integer number (4826577600).

Almost surely, 2^{1011182783688} is an apocalyptic number.

1011182783688 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 1011182783688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853405798400).

1011182783688 is an abundant number, since it is smaller than the sum of its proper divisors (2695628813112).

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

1011182783688 is a wasteful number, since it uses less digits than its factorization.

1011182783688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 1011182783688 in words is "one trillion, eleven billion, one hundred eighty-two million, seven hundred eighty-three thousand, six hundred eighty-eight".