1117105863408 has 30 divisors (see below), whose sum is σ = 3126344882024. Its totient is φ = 372368621088.

The previous prime is 1117105863407. The next prime is 1117105863439. The reversal of 1117105863408 is 8043685017111.

1117105863408 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 1 + 0 + 5 + 8 + 634 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117105863407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3878839660 + ... + 3878839947.

Almost surely, 2^{1117105863408} is an apocalyptic number.

1117105863408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1117105863408 is an abundant number, since it is smaller than the sum of its proper divisors (2009239018616).

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

1117105863408 is a wasteful number, since it uses less digits than its factorization.

1117105863408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757679621 (or 7757679612 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1117105863408 in words is "one trillion, one hundred seventeen billion, one hundred five million, eight hundred sixty-three thousand, four hundred eight".