11313817848320 has 1280 divisors, whose sum is σ = 34532949749760. Its totient is φ = 3504488841216.

The previous prime is 11313817848271. The next prime is 11313817848353. The reversal of 11313817848320 is 2384871831311.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16564886699 + ... + 16564887381.

It is an arithmetic number, because the mean of its divisors is an integer number (26978866992).

Almost surely, 2^{11313817848320} is an apocalyptic number.

11313817848320 is a gapful number since it is divisible by the number (10) 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 11313817848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266474874880).

11313817848320 is an abundant number, since it is smaller than the sum of its proper divisors (23219131901440).

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

11313817848320 is a wasteful number, since it uses less digits than its factorization.

11313817848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 11313817848320 in words is "eleven trillion, three hundred thirteen billion, eight hundred seventeen million, eight hundred forty-eight thousand, three hundred twenty".