14338069917696 has 312 divisors, whose sum is σ = 47348045881344. Its totient is φ = 4095255674880.

The previous prime is 14338069917607. The next prime is 14338069917739. The reversal of 14338069917696 is 69671996083341.

14338069917696 is a `hidden beast` number, since 1 + 4 + 3 + 380 + 6 + 9 + 91 + 76 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009218625 + ... + 1009232831.

It is an arithmetic number, because the mean of its divisors is an integer number (151756557312).

Almost surely, 2^{14338069917696} is an apocalyptic number.

14338069917696 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 14338069917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23674022940672).

14338069917696 is an abundant number, since it is smaller than the sum of its proper divisors (33009975963648).

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

14338069917696 is a wasteful number, since it uses less digits than its factorization.

14338069917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18155 (or 18130 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 14338069917696 in words is "fourteen trillion, three hundred thirty-eight billion, sixty-nine million, nine hundred seventeen thousand, six hundred ninety-six".