11523514335340 has 192 divisors, whose sum is σ = 28483309774080. Its totient is φ = 3834479001600.

The previous prime is 11523514335301. The next prime is 11523514335349. The reversal of 11523514335340 is 4353341532511.

It is a junction number, because it is equal to n+sod(n) for n = 11523514335293 and 11523514335302.

It is not an unprimeable number, because it can be changed into a prime (11523514335349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894051616 + ... + 894064504.

It is an arithmetic number, because the mean of its divisors is an integer number (148350571740).

Almost surely, 2^{11523514335340} is an apocalyptic number.

11523514335340 is a gapful number since it is divisible by the number (10) 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 11523514335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241654887040).

11523514335340 is an abundant number, since it is smaller than the sum of its proper divisors (16959795438740).

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

11523514335340 is a wasteful number, since it uses less digits than its factorization.

11523514335340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14252 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

Adding to 11523514335340 its reverse (4353341532511), we get a palindrome (15876855867851).

The spelling of 11523514335340 in words is "eleven trillion, five hundred twenty-three billion, five hundred fourteen million, three hundred thirty-five thousand, three hundred forty".