11783379456 has 240 divisors, whose sum is σ = 36194558400. Its totient is φ = 3677650944.

The previous prime is 11783379427. The next prime is 11783379493. The reversal of 11783379456 is 65497338711.

11783379456 is a `hidden beast` number, since 1 + 178 + 337 + 94 + 56 = 666.

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 23 ways as a sum of consecutive naturals, for example, 28122415 + ... + 28122833.

It is an arithmetic number, because the mean of its divisors is an integer number (150810660).

Almost surely, 2^11783379456 is an apocalyptic number.

11783379456 is a gapful number since it is divisible by the number (16) 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 11783379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18097279200).

11783379456 is an abundant number, since it is smaller than the sum of its proper divisors (24411178944).

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

11783379456 is a wasteful number, since it uses less digits than its factorization.

11783379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 800 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 11783379456 in words is "eleven billion, seven hundred eighty-three million, three hundred seventy-nine thousand, four hundred fifty-six".