11581963144128 has 336 divisors, whose sum is σ = 36619837494240. Its totient is φ = 3477270601728.

The previous prime is 11581963144049. The next prime is 11581963144181. The reversal of 11581963144128 is 82144136918511.

It is a happy number.

11581963144128 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 196 + 3 + 1 + 441 + 2 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 326152038 + ... + 326187546.

It is an arithmetic number, because the mean of its divisors is an integer number (108987611590).

Almost surely, 2^{11581963144128} is an apocalyptic number.

11581963144128 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 11581963144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309918747120).

11581963144128 is an abundant number, since it is smaller than the sum of its proper divisors (25037874350112).

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

11581963144128 is a wasteful number, since it uses less digits than its factorization.

11581963144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36596 (or 36583 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 11581963144128 in words is "eleven trillion, five hundred eighty-one billion, nine hundred sixty-three million, one hundred forty-four thousand, one hundred twenty-eight".