14468087808 has 384 divisors, whose sum is σ = 45801100800. Its totient is φ = 4554620928.

The previous prime is 14468087807. The next prime is 14468087863. The reversal of 14468087808 is 80878086441.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14468087807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183140313 + ... + 183140391.

It is an arithmetic number, because the mean of its divisors is an integer number (119273700).

Almost surely, 2^14468087808 is an apocalyptic number.

14468087808 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 14468087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900550400).

14468087808 is an abundant number, since it is smaller than the sum of its proper divisors (31333012992).

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

14468087808 is an frugal number, since it uses more digits than its factorization.

14468087808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 14468087808 in words is "fourteen billion, four hundred sixty-eight million, eighty-seven thousand, eight hundred eight".