11006635314136 has 192 divisors, whose sum is σ = 26595208765440. Its totient is φ = 4178211206400.

The previous prime is 11006635314121. The next prime is 11006635314149. The reversal of 11006635314136 is 63141353660011.

It is a super-2 number, since 2×11006635314136² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70941766 + ... + 71096746.

It is an arithmetic number, because the mean of its divisors is an integer number (138516712320).

Almost surely, 2^{11006635314136} 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 11006635314136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297604382720).

11006635314136 is an abundant number, since it is smaller than the sum of its proper divisors (15588573451304).

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

11006635314136 is a wasteful number, since it uses less digits than its factorization.

11006635314136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155286 (or 155271 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

Adding to 11006635314136 its reverse (63141353660011), we get a palindrome (74147988974147).

The spelling of 11006635314136 in words is "eleven trillion, six billion, six hundred thirty-five million, three hundred fourteen thousand, one hundred thirty-six".