14997834816 has 112 divisors (see below), whose sum is σ = 40381025664. Its totient is φ = 4911722496.

The previous prime is 14997834811. The next prime is 14997834821. The reversal of 14997834816 is 61843879941.

14997834816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14997834811) and next prime (14997834821).

It is a self number, because there is not a number n which added to its sum of digits gives 14997834816.

It is not an unprimeable number, because it can be changed into a prime (14997834811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3880501 + ... + 3884363.

It is an arithmetic number, because the mean of its divisors is an integer number (360544872).

Almost surely, 2^14997834816 is an apocalyptic number.

14997834816 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 14997834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20190512832).

14997834816 is an abundant number, since it is smaller than the sum of its proper divisors (25383190848).

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

14997834816 is a wasteful number, since it uses less digits than its factorization.

14997834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4218 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The spelling of 14997834816 in words is "fourteen billion, nine hundred ninety-seven million, eight hundred thirty-four thousand, eight hundred sixteen".