13717351648 has 288 divisors, whose sum is σ = 37268719488. Its totient is φ = 4885171200.

The previous prime is 13717351579. The next prime is 13717351649. The reversal of 13717351648 is 84615371731.

It is a junction number, because it is equal to n+sod(n) for n = 13717351598 and 13717351607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13717351649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29373111 + ... + 29373577.

It is an arithmetic number, because the mean of its divisors is an integer number (129405276).

Almost surely, 2^13717351648 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 13717351648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18634359744).

13717351648 is an abundant number, since it is smaller than the sum of its proper divisors (23551367840).

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

13717351648 is a wasteful number, since it uses less digits than its factorization.

13717351648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The spelling of 13717351648 in words is "thirteen billion, seven hundred seventeen million, three hundred fifty-one thousand, six hundred forty-eight".