11792182834264 has 96 divisors (see below), whose sum is σ = 26278267898880. Its totient is φ = 4944224878656.

The previous prime is 11792182834213. The next prime is 11792182834319. The reversal of 11792182834264 is 46243828129711.

It is a junction number, because it is equal to n+sod(n) for n = 11792182834199 and 11792182834208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44952747 + ... + 45214309.

It is an arithmetic number, because the mean of its divisors is an integer number (273731957280).

Almost surely, 2^{11792182834264} is an apocalyptic number.

11792182834264 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 11792182834264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139133949440).

11792182834264 is an abundant number, since it is smaller than the sum of its proper divisors (14486085064616).

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

11792182834264 is a wasteful number, since it uses less digits than its factorization.

11792182834264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264077 (or 264066 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 58.

The spelling of 11792182834264 in words is "eleven trillion, seven hundred ninety-two billion, one hundred eighty-two million, eight hundred thirty-four thousand, two hundred sixty-four".