13844415456 has 96 divisors (see below), whose sum is σ = 40401849600. Its totient is φ = 4612256640.

The previous prime is 13844415439. The next prime is 13844415523. The reversal of 13844415456 is 65451444831.

13844415456 is a `hidden beast` number, since 1 + 3 + 8 + 444 + 154 + 56 = 666.

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, 2190541 + ... + 2196851.

It is an arithmetic number, because the mean of its divisors is an integer number (420852600).

Almost surely, 2^13844415456 is an apocalyptic number.

13844415456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13844415456 is an abundant number, since it is smaller than the sum of its proper divisors (26557434144).

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

13844415456 is a wasteful number, since it uses less digits than its factorization.

13844415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8869 (or 8855 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 13844415456 in words is "thirteen billion, eight hundred forty-four million, four hundred fifteen thousand, four hundred fifty-six".