14917329408 has 80 divisors (see below), whose sum is σ = 39767856480. Its totient is φ = 4969046016.

The previous prime is 14917329407. The next prime is 14917329461. The reversal of 14917329408 is 80492371941.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14917329403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3344716 + ... + 3349172.

It is an arithmetic number, because the mean of its divisors is an integer number (497098206).

Almost surely, 2^14917329408 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 14917329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883928240).

14917329408 is an abundant number, since it is smaller than the sum of its proper divisors (24850527072).

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

14917329408 is an equidigital number, since it uses as much as digits as its factorization.

14917329408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 14917329408 in words is "fourteen billion, nine hundred seventeen million, three hundred twenty-nine thousand, four hundred eight".