11679557148 has 144 divisors (see below), whose sum is σ = 35250948096. Its totient is φ = 3190285440.

The previous prime is 11679557147. The next prime is 11679557161. The reversal of 11679557148 is 84175597611.

11679557148 is a `hidden beast` number, since 1 + 1 + 6 + 79 + 557 + 14 + 8 = 666.

11679557148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11679557094 and 11679557103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11679557147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639390 + ... + 657402.

Almost surely, 2^11679557148 is an apocalyptic number.

11679557148 is a gapful number since it is divisible by the number (18) 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 11679557148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625474048).

11679557148 is an abundant number, since it is smaller than the sum of its proper divisors (23571390948).

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

11679557148 is a wasteful number, since it uses less digits than its factorization.

11679557148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144 (or 18139 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 11679557148 in words is "eleven billion, six hundred seventy-nine million, five hundred fifty-seven thousand, one hundred forty-eight".