13417648160 has 192 divisors, whose sum is σ = 37929959424. Its totient is φ = 4388428800.

The previous prime is 13417648159. The next prime is 13417648163. The reversal of 13417648160 is 6184671431.

It is not an unprimeable number, because it can be changed into a prime (13417648163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2462399 + ... + 2467841.

It is an arithmetic number, because the mean of its divisors is an integer number (197551872).

Almost surely, 2^13417648160 is an apocalyptic number.

13417648160 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 13417648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964979712).

13417648160 is an abundant number, since it is smaller than the sum of its proper divisors (24512311264).

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

13417648160 is a wasteful number, since it uses less digits than its factorization.

13417648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 13417648160 in words is "thirteen billion, four hundred seventeen million, six hundred forty-eight thousand, one hundred sixty".