11314576900 has 81 divisors (see below), whose sum is σ = 27015541077. Its totient is φ = 4110136800.

The previous prime is 11314576811. The next prime is 11314576901. The reversal of 11314576900 is 967541311.

It is a happy number.

The square root of 11314576900 is 106370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4073247684 + 7241329216 = 63822^2 + 85096^2 .

It is a super-2 number, since 2×11314576900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11314576900.

It is not an unprimeable number, because it can be changed into a prime (11314576901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11700217 + ... + 11701183.

Almost surely, 2^11314576900 is an apocalyptic number.

11314576900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11314576900 is the 106370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314576900

11314576900 is an abundant number, since it is smaller than the sum of its proper divisors (15700964177).

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

11314576900 is an equidigital number, since it uses as much as digits as its factorization.

11314576900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 11314576900 in words is "eleven billion, three hundred fourteen million, five hundred seventy-six thousand, nine hundred".