11728074456 has 128 divisors (see below), whose sum is σ = 37276070400. Its totient is φ = 3346911360.

The previous prime is 11728074443. The next prime is 11728074493. The reversal of 11728074456 is 65447082711.

11728074456 is a `hidden beast` number, since 117 + 2 + 80 + 7 + 4 + 456 = 666.

11728074456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418671 + ... + 1426913.

It is an arithmetic number, because the mean of its divisors is an integer number (291219300).

Almost surely, 2^11728074456 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 11728074456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638035200).

11728074456 is an abundant number, since it is smaller than the sum of its proper divisors (25547995944).

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

11728074456 is a wasteful number, since it uses less digits than its factorization.

11728074456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 11728074456 in words is "eleven billion, seven hundred twenty-eight million, seventy-four thousand, four hundred fifty-six".