14023984896 has 432 divisors, whose sum is σ = 45198972000. Its totient is φ = 4321050624.

The previous prime is 14023984883. The next prime is 14023984901. The reversal of 14023984896 is 69848932041.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×14023984896² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 94120630 + ... + 94120778.

It is an arithmetic number, because the mean of its divisors is an integer number (104627250).

Almost surely, 2^14023984896 is an apocalyptic number.

14023984896 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 14023984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22599486000).

14023984896 is an abundant number, since it is smaller than the sum of its proper divisors (31174987104).

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

14023984896 is an equidigital number, since it uses as much as digits as its factorization.

14023984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14023984896 in words is "fourteen billion, twenty-three million, nine hundred eighty-four thousand, eight hundred ninety-six".