11348774784 has 256 divisors, whose sum is σ = 35427456000. Its totient is φ = 3566592000.

The previous prime is 11348774777. The next prime is 11348774821. The reversal of 11348774784 is 48747784311.

11348774784 is a `hidden beast` number, since 1 + 13 + 487 + 74 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11348774784.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 26331049 + ... + 26331479.

It is an arithmetic number, because the mean of its divisors is an integer number (138388500).

Almost surely, 2^11348774784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11348774784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713728000).

11348774784 is an abundant number, since it is smaller than the sum of its proper divisors (24078681216).

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

11348774784 is a wasteful number, since it uses less digits than its factorization.

11348774784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 11348774784 in words is "eleven billion, three hundred forty-eight million, seven hundred seventy-four thousand, seven hundred eighty-four".