11305230768 has 120 divisors (see below), whose sum is σ = 34302231600. Its totient is φ = 3455101440.

The previous prime is 11305230763. The next prime is 11305230803. The reversal of 11305230768 is 86703250311.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11305230763) 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 23 ways as a sum of consecutive naturals, for example, 258663 + ... + 299193.

It is an arithmetic number, because the mean of its divisors is an integer number (285851930).

Almost surely, 2^11305230768 is an apocalyptic number.

11305230768 is a gapful number since it is divisible by the number (18) 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 11305230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151115800).

11305230768 is an abundant number, since it is smaller than the sum of its proper divisors (22997000832).

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

11305230768 is a wasteful number, since it uses less digits than its factorization.

11305230768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40707 (or 40698 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11305230768 in words is "eleven billion, three hundred five million, two hundred thirty thousand, seven hundred sixty-eight".