14048039808 has 384 divisors, whose sum is σ = 45673804800. Its totient is φ = 4107939840.

The previous prime is 14048039801. The next prime is 14048039809. The reversal of 14048039808 is 80893084041.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×14048039808³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14048039801) 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, 61345038 + ... + 61345266.

It is an arithmetic number, because the mean of its divisors is an integer number (118942200).

Almost surely, 2^14048039808 is an apocalyptic number.

14048039808 is a gapful number since it is divisible by the number (18) 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 14048039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22836902400).

14048039808 is an abundant number, since it is smaller than the sum of its proper divisors (31625764992).

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

14048039808 is a wasteful number, since it uses less digits than its factorization.

14048039808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14048039808 in words is "fourteen billion, forty-eight million, thirty-nine thousand, eight hundred eight".