11313889768016 has 80 divisors (see below), whose sum is σ = 24304897869120. Its totient is φ = 5059081251840.

The previous prime is 11313889767997. The next prime is 11313889768031. The reversal of 11313889768016 is 61086798831311.

It is a self number, because there is not a number n which added to its sum of digits gives 11313889768016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252595 + ... + 4919021.

It is an arithmetic number, because the mean of its divisors is an integer number (303811223364).

Almost surely, 2^{11313889768016} is an apocalyptic number.

11313889768016 is a gapful number since it is divisible by the number (16) 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 11313889768016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152448934560).

11313889768016 is an abundant number, since it is smaller than the sum of its proper divisors (12991008101104).

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

11313889768016 is a wasteful number, since it uses less digits than its factorization.

11313889768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666732 (or 3666726 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 62.

The spelling of 11313889768016 in words is "eleven trillion, three hundred thirteen billion, eight hundred eighty-nine million, seven hundred sixty-eight thousand, sixteen".