14104105566540 has 192 divisors, whose sum is σ = 45620510100480. Its totient is φ = 3217719951360.

The previous prime is 14104105566511. The next prime is 14104105566541. The reversal of 14104105566540 is 4566550140141.

It is a super-2 number, since 2×14104105566540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14104105566492 and 14104105566501.

It is not an unprimeable number, because it can be changed into a prime (14104105566541) 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 63 ways as a sum of consecutive naturals, for example, 119579916 + ... + 119697804.

It is an arithmetic number, because the mean of its divisors is an integer number (237606823440).

Almost surely, 2^{14104105566540} is an apocalyptic number.

14104105566540 is a gapful number since it is divisible by the number (10) 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 14104105566540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810255050240).

14104105566540 is an abundant number, since it is smaller than the sum of its proper divisors (31516404533940).

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

14104105566540 is a wasteful number, since it uses less digits than its factorization.

14104105566540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128592 (or 128590 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 14104105566540 in words is "fourteen trillion, one hundred four billion, one hundred five million, five hundred sixty-six thousand, five hundred forty".