14035806816 has 96 divisors (see below), whose sum is σ = 37741777920. Its totient is φ = 4564836864.

The previous prime is 14035806797. The next prime is 14035806823. The reversal of 14035806816 is 61860853041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7260186 + ... + 7262118.

It is an arithmetic number, because the mean of its divisors is an integer number (393143520).

Almost surely, 2^14035806816 is an apocalyptic number.

14035806816 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 14035806816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870888960).

14035806816 is an abundant number, since it is smaller than the sum of its proper divisors (23705971104).

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

14035806816 is a wasteful number, since it uses less digits than its factorization.

14035806816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 14035806816 in words is "fourteen billion, thirty-five million, eight hundred six thousand, eight hundred sixteen".