11385523968 has 648 divisors, whose sum is σ = 41309542512. Its totient is φ = 2749759488.

The previous prime is 11385523927. The next prime is 11385523969. The reversal of 11385523968 is 86932558311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 11385523968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11385523969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307716846 + ... + 307716882.

It is an arithmetic number, because the mean of its divisors is an integer number (63749294).

Almost surely, 2^11385523968 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 11385523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20654771256).

11385523968 is an abundant number, since it is smaller than the sum of its proper divisors (29924018544).

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

11385523968 is a wasteful number, since it uses less digits than its factorization.

11385523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 11385523968 in words is "eleven billion, three hundred eighty-five million, five hundred twenty-three thousand, nine hundred sixty-eight".