11334680784 has 480 divisors, whose sum is σ = 40820244480. Its totient is φ = 2993760000.

The previous prime is 11334680743. The next prime is 11334680821. The reversal of 11334680784 is 48708643311.

11334680784 is a `hidden beast` number, since 113 + 3 + 468 + 0 + 78 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 15092409 + ... + 15093159.

It is an arithmetic number, because the mean of its divisors is an integer number (85042176).

Almost surely, 2^11334680784 is an apocalyptic number.

11334680784 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 11334680784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20410122240).

11334680784 is an abundant number, since it is smaller than the sum of its proper divisors (29485563696).

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

11334680784 is a wasteful number, since it uses less digits than its factorization.

11334680784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11334680784 in words is "eleven billion, three hundred thirty-four million, six hundred eighty thousand, seven hundred eighty-four".