11423268864 has 720 divisors, whose sum is σ = 43032245760. Its totient is φ = 2972712960.

The previous prime is 11423268827. The next prime is 11423268877. The reversal of 11423268864 is 46886232411.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368492529 + ... + 368492559.

It is an arithmetic number, because the mean of its divisors is an integer number (59767008).

Almost surely, 2^11423268864 is an apocalyptic number.

11423268864 is a gapful number since it is divisible by the number (14) 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 11423268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21516122880).

11423268864 is an abundant number, since it is smaller than the sum of its proper divisors (31608976896).

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

11423268864 is an equidigital number, since it uses as much as digits as its factorization.

11423268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 11423268864 in words is "eleven billion, four hundred twenty-three million, two hundred sixty-eight thousand, eight hundred sixty-four".