110004400011 has 64 divisors (see below), whose sum is σ = 164235456000. Its totient is φ = 64936442880.

The previous prime is 110004399929. The next prime is 110004400019.

110004400011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110004400011 - 2¹⁵ = 110004367243 is a prime.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 110004400011.

It is not an unprimeable number, because it can be changed into a prime (110004400019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68367375 + ... + 68368983.

It is an arithmetic number, because the mean of its divisors is an integer number (2566179000).

Almost surely, 2^110004400011 is an apocalyptic number.

110004400011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110004400011 is a deficient number, since it is larger than the sum of its proper divisors (54231055989).

110004400011 is a wasteful number, since it uses less digits than its factorization.

110004400011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 110004 and 400011, that added together give a palindrome (510015).

The spelling of 110004400011 in words is "one hundred ten billion, four million, four hundred thousand, eleven".