11313889768032 has 96 divisors (see below), whose sum is σ = 32621284120320. Its totient is φ = 3417467834880.

The previous prime is 11313889768031. The next prime is 11313889768067. The reversal of 11313889768032 is 23086798831311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313889768031) by changing a digit.

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, 134801319 + ... + 134885222.

It is an arithmetic number, because the mean of its divisors is an integer number (339805042920).

Almost surely, 2^{11313889768032} is an apocalyptic number.

11313889768032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11313889768032 is an abundant number, since it is smaller than the sum of its proper divisors (21307394352288).

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

11313889768032 is a wasteful number, since it uses less digits than its factorization.

11313889768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269686596 (or 269686588 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 11313889768032 in words is "eleven trillion, three hundred thirteen billion, eight hundred eighty-nine million, seven hundred sixty-eight thousand, thirty-two".