11147596128 has 72 divisors (see below), whose sum is σ = 31764915000. Its totient is φ = 3708370944.

The previous prime is 11147596123. The next prime is 11147596147. The reversal of 11147596128 is 82169574111.

11147596128 is a `hidden beast` number, since 1 + 1 + 1 + 47 + 596 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147596123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104928 + ... + 182496.

It is an arithmetic number, because the mean of its divisors is an integer number (441179375).

Almost surely, 2^11147596128 is an apocalyptic number.

11147596128 is a gapful number since it is divisible by the number (18) 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 11147596128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882457500).

11147596128 is an abundant number, since it is smaller than the sum of its proper divisors (20617318872).

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

11147596128 is a wasteful number, since it uses less digits than its factorization.

11147596128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78084 (or 78073 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 11147596128 in words is "eleven billion, one hundred forty-seven million, five hundred ninety-six thousand, one hundred twenty-eight".