11533262162136 has 384 divisors, whose sum is σ = 36633408960960. Its totient is φ = 2994711920640.

The previous prime is 11533262162131. The next prime is 11533262162159. The reversal of 11533262162136 is 63126126233511.

It is a happy number.

It is a super-2 number, since 2×11533262162136² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11533262162131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46727146 + ... + 46973318.

Almost surely, 2^{11533262162136} 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 11533262162136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316704480480).

11533262162136 is an abundant number, since it is smaller than the sum of its proper divisors (25100146798824).

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

11533262162136 is a wasteful number, since it uses less digits than its factorization.

11533262162136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246307 (or 246292 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

Adding to 11533262162136 its reverse (63126126233511), we get a palindrome (74659388395647).

The spelling of 11533262162136 in words is "eleven trillion, five hundred thirty-three billion, two hundred sixty-two million, one hundred sixty-two thousand, one hundred thirty-six".