11009795181336 has 192 divisors, whose sum is σ = 35099267112000. Its totient is φ = 3051866502144.

The previous prime is 11009795181331. The next prime is 11009795181397. The reversal of 11009795181336 is 63318159790011.

11009795181336 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 97 + 9 + 518 + 1 + 3 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009795181331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5662306 + ... + 7353998.

It is an arithmetic number, because the mean of its divisors is an integer number (182808682875).

Almost surely, 2^{11009795181336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11009795181336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549633556000).

11009795181336 is an abundant number, since it is smaller than the sum of its proper divisors (24089471930664).

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

11009795181336 is a wasteful number, since it uses less digits than its factorization.

11009795181336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692098 (or 1692091 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 11009795181336 in words is "eleven trillion, nine billion, seven hundred ninety-five million, one hundred eighty-one thousand, three hundred thirty-six".