1106117766663 has 96 divisors (see below), whose sum is σ = 1856050560000. Its totient is φ = 570578038272.

The previous prime is 1106117766661. The next prime is 1106117766701. The reversal of 1106117766663 is 3666677116011.

It is a happy number.

It is not a de Polignac number, because 1106117766663 - 2¹ = 1106117766661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106117766661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189109363 + ... + 189115211.

It is an arithmetic number, because the mean of its divisors is an integer number (19333860000).

Almost surely, 2^{1106117766663} is an apocalyptic number.

1106117766663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1106117766663 is a deficient number, since it is larger than the sum of its proper divisors (749932793337).

1106117766663 is a wasteful number, since it uses less digits than its factorization.

1106117766663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 1106117766663 in words is "one trillion, one hundred six billion, one hundred seventeen million, seven hundred sixty-six thousand, six hundred sixty-three".