11313819648 has 312 divisors, whose sum is σ = 35650508400. Its totient is φ = 3443392512.

The previous prime is 11313819599. The next prime is 11313819659. The reversal of 11313819648 is 84691831311.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20311786 + ... + 20312342.

It is an arithmetic number, because the mean of its divisors is an integer number (114264450).

Almost surely, 2^11313819648 is an apocalyptic number.

11313819648 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 11313819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825254200).

11313819648 is an abundant number, since it is smaller than the sum of its proper divisors (24336688752).

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

11313819648 is a wasteful number, since it uses less digits than its factorization.

11313819648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 11313819648 in words is "eleven billion, three hundred thirteen million, eight hundred nineteen thousand, six hundred forty-eight".