11705779344 has 240 divisors, whose sum is σ = 36870532992. Its totient is φ = 3184828416.

The previous prime is 11705779313. The next prime is 11705779381. The reversal of 11705779344 is 44397750711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11705779293 and 11705779302.

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 47 ways as a sum of consecutive naturals, for example, 19095582 + ... + 19096194.

Almost surely, 2^11705779344 is an apocalyptic number.

11705779344 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 11705779344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435266496).

11705779344 is an abundant number, since it is smaller than the sum of its proper divisors (25164753648).

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

11705779344 is a wasteful number, since it uses less digits than its factorization.

11705779344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 11705779344 in words is "eleven billion, seven hundred five million, seven hundred seventy-nine thousand, three hundred forty-four".