11313045665920 has 128 divisors (see below), whose sum is σ = 27128618496000. Its totient is φ = 4511280304128.

The previous prime is 11313045665917. The next prime is 11313045665941. The reversal of 11313045665920 is 2956654031311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585582021 + ... + 585601339.

It is an arithmetic number, because the mean of its divisors is an integer number (211942332000).

Almost surely, 2^{11313045665920} is an apocalyptic number.

11313045665920 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 11313045665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564309248000).

11313045665920 is an abundant number, since it is smaller than the sum of its proper divisors (15815572830080).

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

11313045665920 is a wasteful number, since it uses less digits than its factorization.

11313045665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22110 (or 22098 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 11313045665920 in words is "eleven trillion, three hundred thirteen billion, forty-five million, six hundred sixty-five thousand, nine hundred twenty".