11779846848 has 448 divisors, whose sum is σ = 43748797440. Its totient is φ = 3056901120.

The previous prime is 11779846807. The next prime is 11779846849. The reversal of 11779846848 is 84864897711.

11779846848 is a `hidden beast` number, since 11 + 77 + 98 + 468 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11779846849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10776990 + ... + 10778082.

Almost surely, 2^11779846848 is an apocalyptic number.

11779846848 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 11779846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21874398720).

11779846848 is an abundant number, since it is smaller than the sum of its proper divisors (31968950592).

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

11779846848 is an equidigital number, since it uses as much as digits as its factorization.

11779846848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1116 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 11779846848 in words is "eleven billion, seven hundred seventy-nine million, eight hundred forty-six thousand, eight hundred forty-eight".