11474128656 has 80 divisors (see below), whose sum is σ = 33117185920. Its totient is φ = 3803552640.

The previous prime is 11474128651. The next prime is 11474128669. The reversal of 11474128656 is 65682147411.

11474128656 is a `hidden beast` number, since 1 + 1 + 474 + 128 + 6 + 56 = 666.

11474128656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11474128651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4821 + ... + 151563.

It is an arithmetic number, because the mean of its divisors is an integer number (413964824).

Almost surely, 2^11474128656 is an apocalyptic number.

11474128656 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 11474128656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558592960).

11474128656 is an abundant number, since it is smaller than the sum of its proper divisors (21643057264).

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

11474128656 is a wasteful number, since it uses less digits than its factorization.

11474128656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146941 (or 146929 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11474128656 in words is "eleven billion, four hundred seventy-four million, one hundred twenty-eight thousand, six hundred fifty-six".