11113204406164 has 96 divisors (see below), whose sum is σ = 23767311859200. Its totient is φ = 4442950871040.

The previous prime is 11113204406149. The next prime is 11113204406167. The reversal of 11113204406164 is 46160440231111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113204406167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71979402 + ... + 72133630.

It is an arithmetic number, because the mean of its divisors is an integer number (247576165200).

Almost surely, 2^{11113204406164} is an apocalyptic number.

11113204406164 is a gapful number since it is divisible by the number (14) 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 11113204406164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883655929600).

11113204406164 is an abundant number, since it is smaller than the sum of its proper divisors (12654107453036).

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

11113204406164 is a wasteful number, since it uses less digits than its factorization.

11113204406164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157033 (or 157031 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 11113204406164 its reverse (46160440231111), we get a palindrome (57273644637275).

The spelling of 11113204406164 in words is "eleven trillion, one hundred thirteen billion, two hundred four million, four hundred six thousand, one hundred sixty-four".