11382688456128 has 672 divisors, whose sum is σ = 40742037123840. Its totient is φ = 2992393912320.

The previous prime is 11382688456099. The next prime is 11382688456163. The reversal of 11382688456128 is 82165488628311.

11382688456128 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 6 + 8 + 8 + 4 + 5 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75646375 + ... + 75796697.

Almost surely, 2^{11382688456128} is an apocalyptic number.

11382688456128 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 11382688456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20371018561920).

11382688456128 is an abundant number, since it is smaller than the sum of its proper divisors (29359348667712).

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

11382688456128 is a wasteful number, since it uses less digits than its factorization.

11382688456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150425 (or 150412 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 11382688456128 in words is "eleven trillion, three hundred eighty-two billion, six hundred eighty-eight million, four hundred fifty-six thousand, one hundred twenty-eight".