11023523616 has 384 divisors, whose sum is σ = 35951247360. Its totient is φ = 2890137600.

The previous prime is 11023523593. The next prime is 11023523617. The reversal of 11023523616 is 61632532011.

It is not an unprimeable number, because it can be changed into a prime (11023523617) 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, 42892960 + ... + 42893216.

It is an arithmetic number, because the mean of its divisors is an integer number (93623040).

Almost surely, 2^11023523616 is an apocalyptic number.

11023523616 is a gapful number since it is divisible by the number (16) 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 11023523616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975623680).

11023523616 is an abundant number, since it is smaller than the sum of its proper divisors (24927723744).

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

11023523616 is a wasteful number, since it uses less digits than its factorization.

11023523616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

It can be divided in two parts, 1102352361 and 6, that multiplied together give a palindrome (6614114166).

The spelling of 11023523616 in words is "eleven billion, twenty-three million, five hundred twenty-three thousand, six hundred sixteen".