13868745312 has 96 divisors (see below), whose sum is σ = 36795064320. Its totient is φ = 4573716480.

The previous prime is 13868745307. The next prime is 13868745337. The reversal of 13868745312 is 21354786831.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3536889 + ... + 3540807.

It is an arithmetic number, because the mean of its divisors is an integer number (383281920).

Almost surely, 2^13868745312 is an apocalyptic number.

13868745312 is a gapful number since it is divisible by the number (12) 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 13868745312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18397532160).

13868745312 is an abundant number, since it is smaller than the sum of its proper divisors (22926319008).

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

13868745312 is a wasteful number, since it uses less digits than its factorization.

13868745312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4308 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 13868745312 in words is "thirteen billion, eight hundred sixty-eight million, seven hundred forty-five thousand, three hundred twelve".