14680122269904 has 1440 divisors, whose sum is σ = 56414374248960. Its totient is φ = 3470621147136.

The previous prime is 14680122269903. The next prime is 14680122269993. The reversal of 14680122269904 is 40996222108641.

14680122269904 is a `hidden beast` number, since 1 + 468 + 0 + 12 + 22 + 69 + 90 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14680122269903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28841104402 + ... + 28841104910.

It is an arithmetic number, because the mean of its divisors is an integer number (39176648784).

Almost surely, 2^{14680122269904} is an apocalyptic number.

14680122269904 is a gapful number since it is divisible by the number (14) 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 14680122269904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28207187124480).

14680122269904 is an abundant number, since it is smaller than the sum of its proper divisors (41734251979056).

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

14680122269904 is a wasteful number, since it uses less digits than its factorization.

14680122269904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14680122269904 in words is "fourteen trillion, six hundred eighty billion, one hundred twenty-two million, two hundred sixty-nine thousand, nine hundred four".