13718472768 has 1008 divisors, whose sum is σ = 56072714880. Its totient is φ = 3257210880.

The previous prime is 13718472743. The next prime is 13718472769. The reversal of 13718472768 is 86727481731.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13718472769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133189005 + ... + 133189107.

Almost surely, 2^13718472768 is an apocalyptic number.

13718472768 is a gapful number since it is divisible by the number (18) 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 13718472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28036357440).

13718472768 is an abundant number, since it is smaller than the sum of its proper divisors (42354242112).

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

13718472768 is a wasteful number, since it uses less digits than its factorization.

13718472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 13718472768 in words is "thirteen billion, seven hundred eighteen million, four hundred seventy-two thousand, seven hundred sixty-eight".