11679134544 has 240 divisors, whose sum is σ = 41016243840. Its totient is φ = 3013770240.

The previous prime is 11679134543. The next prime is 11679134561. The reversal of 11679134544 is 44543197611.

11679134544 is a `hidden beast` number, since 1 + 1 + 6 + 79 + 1 + 34 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11679134544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11679134543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737462 + ... + 1744170.

It is an arithmetic number, because the mean of its divisors is an integer number (170901016).

Almost surely, 2^11679134544 is an apocalyptic number.

11679134544 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 11679134544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20508121920).

11679134544 is an abundant number, since it is smaller than the sum of its proper divisors (29337109296).

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

11679134544 is a wasteful number, since it uses less digits than its factorization.

11679134544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898 (or 6889 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 11679134544 in words is "eleven billion, six hundred seventy-nine million, one hundred thirty-four thousand, five hundred forty-four".