11116316900 has 72 divisors (see below), whose sum is σ = 26012996520. Its totient is φ = 4098954240.

The previous prime is 11116316899. The next prime is 11116316903. The reversal of 11116316900 is 961361111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3631990756 + 7484326144 = 60266^2 + 86512^2 .

It is a super-2 number, since 2×11116316900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11116316903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030736 + ... + 1041464.

Almost surely, 2^11116316900 is an apocalyptic number.

11116316900 is a gapful number since it is divisible by the number (10) 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 11116316900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006498260).

11116316900 is an abundant number, since it is smaller than the sum of its proper divisors (14896679620).

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

11116316900 is a wasteful number, since it uses less digits than its factorization.

11116316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11546 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 11116316900 in words is "eleven billion, one hundred sixteen million, three hundred sixteen thousand, nine hundred".