14106446442 has 96 divisors (see below), whose sum is σ = 34402395456. Its totient is φ = 4174964640.

The previous prime is 14106446381. The next prime is 14106446443. The reversal of 14106446442 is 24464460141.

14106446442 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 6 + 4 + 4 + 644 + 2 = 666.

14106446442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14106446397 and 14106446406.

It is not an unprimeable number, because it can be changed into a prime (14106446443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023348 + ... + 1037040.

It is an arithmetic number, because the mean of its divisors is an integer number (358358286).

Almost surely, 2^14106446442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106446442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201197728).

14106446442 is an abundant number, since it is smaller than the sum of its proper divisors (20295949014).

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

14106446442 is a wasteful number, since it uses less digits than its factorization.

14106446442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13777 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 1410644 and 6442, that added together give a triangular number (1417086 = T₁₆₈₃).

The spelling of 14106446442 in words is "fourteen billion, one hundred six million, four hundred forty-six thousand, four hundred forty-two".