13816440768 has 448 divisors, whose sum is σ = 43709783040. Its totient is φ = 3814981632.

The previous prime is 13816440721. The next prime is 13816440779. The reversal of 13816440768 is 86704461831.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71587680 + ... + 71587872.

It is an arithmetic number, because the mean of its divisors is an integer number (97566480).

Almost surely, 2^13816440768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13816440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21854891520).

13816440768 is an abundant number, since it is smaller than the sum of its proper divisors (29893342272).

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

13816440768 is a wasteful number, since it uses less digits than its factorization.

13816440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13816440768 in words is "thirteen billion, eight hundred sixteen million, four hundred forty thousand, seven hundred sixty-eight".