11305218276 has 189 divisors, whose sum is σ = 32787541843. Its totient is φ = 3406685040.

The previous prime is 11305218247. The next prime is 11305218283. The reversal of 11305218276 is 67281250311.

The square root of 11305218276 is 106326.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11305218276.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 63157555 + ... + 63157733.

Almost surely, 2^11305218276 is an apocalyptic number.

11305218276 is the 106326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11305218276

11305218276 is an abundant number, since it is smaller than the sum of its proper divisors (21482323567).

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

11305218276 is an equidigital number, since it uses as much as digits as its factorization.

11305218276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 11305218276 by its sum of digits (36), we get a square (406987857936 = 637956²).

11305218276 divided by its sum of digits (36) gives a square (314033841 = 17721²).

Adding to 11305218276 its reverse (67281250311), we get a palindrome (78586468587).

It can be divided in two parts, 113052 and 18276, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 11305218276 in words is "eleven billion, three hundred five million, two hundred eighteen thousand, two hundred seventy-six".