11782234116 has 81 divisors (see below), whose sum is σ = 30296938581. Its totient is φ = 3860764128.

The previous prime is 11782234073. The next prime is 11782234129. The reversal of 11782234116 is 61143228711.

The square root of 11782234116 is 108546.

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

11782234116 is a `hidden beast` number, since 1 + 17 + 8 + 223 + 411 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10973400516 + 808833600 = 104754^2 + 28440^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51450690 + ... + 51450918.

Almost surely, 2^11782234116 is an apocalyptic number.

11782234116 is the 108546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11782234116

11782234116 is an abundant number, since it is smaller than the sum of its proper divisors (18514704465).

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

11782234116 is an equidigital number, since it uses as much as digits as its factorization.

11782234116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

Multiplying 11782234116 by its sum of digits (36), we get a square (424160428176 = 651276²).

11782234116 divided by its sum of digits (36) gives a square (327284281 = 18091²).

The spelling of 11782234116 in words is "eleven billion, seven hundred eighty-two million, two hundred thirty-four thousand, one hundred sixteen".