14408313696 has 288 divisors, whose sum is σ = 48910837248. Its totient is φ = 4087065600.

The previous prime is 14408313691. The next prime is 14408313727. The reversal of 14408313696 is 69631380441.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14408313691) 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, 8218356 + ... + 8220108.

It is an arithmetic number, because the mean of its divisors is an integer number (169829296).

Almost surely, 2^14408313696 is an apocalyptic number.

14408313696 is a gapful number since it is divisible by the number (16) 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 14408313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455418624).

14408313696 is an abundant number, since it is smaller than the sum of its proper divisors (34502523552).

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

14408313696 is a wasteful number, since it uses less digits than its factorization.

14408313696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14408313696 in words is "fourteen billion, four hundred eight million, three hundred thirteen thousand, six hundred ninety-six".