13868771840 has 720 divisors, whose sum is σ = 46434215520. Its totient is φ = 3917168640.

The previous prime is 13868771831. The next prime is 13868771849. The reversal of 13868771840 is 4817786831.

It is an interprime number because it is at equal distance from previous prime (13868771831) and next prime (13868771849).

It is not an unprimeable number, because it can be changed into a prime (13868771849) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 602990069 + ... + 602990091.

It is an arithmetic number, because the mean of its divisors is an integer number (64491966).

Almost surely, 2^13868771840 is an apocalyptic number.

13868771840 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 13868771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23217107760).

13868771840 is an abundant number, since it is smaller than the sum of its proper divisors (32565443680).

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

13868771840 is a wasteful number, since it uses less digits than its factorization.

13868771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 53.

The spelling of 13868771840 in words is "thirteen billion, eight hundred sixty-eight million, seven hundred seventy-one thousand, eight hundred forty".