14404977216 has 84 divisors (see below), whose sum is σ = 47187746112. Its totient is φ = 4115706624.

The previous prime is 14404977199. The next prime is 14404977221. The reversal of 14404977216 is 61277940441.

14404977216 is a `hidden beast` number, since 144 + 0 + 497 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×14404977216² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1782300 + ... + 1790363.

Almost surely, 2^14404977216 is an apocalyptic number.

14404977216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14404977216 is an abundant number, since it is smaller than the sum of its proper divisors (32782768896).

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

14404977216 is a wasteful number, since it uses less digits than its factorization.

14404977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572688 (or 3572675 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 14404977216 in words is "fourteen billion, four hundred four million, nine hundred seventy-seven thousand, two hundred sixteen".