1103858129808 has 240 divisors, whose sum is σ = 3676747815936. Its totient is φ = 302512250880.

The previous prime is 1103858129761. The next prime is 1103858129809. The reversal of 1103858129808 is 8089218583011.

1103858129808 is a `hidden beast` number, since 1 + 1 + 0 + 38 + 581 + 29 + 8 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1103858129809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374716 + ... + 3687332.

Almost surely, 2^{1103858129808} is an apocalyptic number.

1103858129808 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 1103858129808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838373907968).

1103858129808 is an abundant number, since it is smaller than the sum of its proper divisors (2572889686128).

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

1103858129808 is a wasteful number, since it uses less digits than its factorization.

1103858129808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312782 (or 312773 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 1103858129808 in words is "one trillion, one hundred three billion, eight hundred fifty-eight million, one hundred twenty-nine thousand, eight hundred eight".