14416938104256 has 84 divisors (see below), whose sum is σ = 42854051916312. Its totient is φ = 4805646029568.

The previous prime is 14416938104201. The next prime is 14416938104269. The reversal of 14416938104256 is 65240183961441.

14416938104256 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 6 + 9 + 381 + 0 + 4 + 256 = 666.

14416938104256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463491975 + ... + 463523078.

It is an arithmetic number, because the mean of its divisors is an integer number (510167284718).

Almost surely, 2^{14416938104256} is an apocalyptic number.

14416938104256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14416938104256 is an abundant number, since it is smaller than the sum of its proper divisors (28437113812056).

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

14416938104256 is an frugal number, since it uses more digits than its factorization.

14416938104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927015080 (or 927015058 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14416938104256 in words is "fourteen trillion, four hundred sixteen billion, nine hundred thirty-eight million, one hundred four thousand, two hundred fifty-six".