14938670816256 has 352 divisors, whose sum is σ = 44928642318336. Its totient is φ = 4371978240000.

The previous prime is 14938670816243. The next prime is 14938670816291. The reversal of 14938670816256 is 65261807683941.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526904481 + ... + 526932831.

It is a 1-persistent number, because it is pandigital, but 2⋅14938670816256 = 29877341632512 is not.

Almost surely, 2^{14938670816256} is an apocalyptic number.

14938670816256 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 14938670816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464321159168).

14938670816256 is an abundant number, since it is smaller than the sum of its proper divisors (29989971502080).

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

14938670816256 is a wasteful number, since it uses less digits than its factorization.

14938670816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28919 (or 28901 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 14938670816256 in words is "fourteen trillion, nine hundred thirty-eight billion, six hundred seventy million, eight hundred sixteen thousand, two hundred fifty-six".