14351039808 has 448 divisors, whose sum is σ = 46798553088. Its totient is φ = 3795517440.

The previous prime is 14351039779. The next prime is 14351039837. The reversal of 14351039808 is 80893015341.

It is an interprime number because it is at equal distance from previous prime (14351039779) and next prime (14351039837).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14351039808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147948816 + ... + 147948912.

It is an arithmetic number, because the mean of its divisors is an integer number (104461056).

Almost surely, 2^14351039808 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 14351039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23399276544).

14351039808 is an abundant number, since it is smaller than the sum of its proper divisors (32447513280).

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

14351039808 is a wasteful number, since it uses less digits than its factorization.

14351039808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 14351039808 in words is "fourteen billion, three hundred fifty-one million, thirty-nine thousand, eight hundred eight".