11481856128 has 288 divisors, whose sum is σ = 35109350640. Its totient is φ = 3600841728.

The previous prime is 11481856109. The next prime is 11481856187. The reversal of 11481856128 is 82165818411.

11481856128 is a `hidden beast` number, since 1 + 1 + 4 + 81 + 8 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50580751 + ... + 50580977.

Almost surely, 2^11481856128 is an apocalyptic number.

11481856128 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 11481856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554675320).

11481856128 is an abundant number, since it is smaller than the sum of its proper divisors (23627494512).

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

11481856128 is a wasteful number, since it uses less digits than its factorization.

11481856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 338 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The spelling of 11481856128 in words is "eleven billion, four hundred eighty-one million, eight hundred fifty-six thousand, one hundred twenty-eight".