14105357616 has 160 divisors (see below), whose sum is σ = 43330306048. Its totient is φ = 3869026560.

The previous prime is 14105357611. The next prime is 14105357653. The reversal of 14105357616 is 61675350141.

14105357616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14105357616² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14105357611) 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 31 ways as a sum of consecutive naturals, for example, 1317501 + ... + 1328163.

Almost surely, 2^14105357616 is an apocalyptic number.

14105357616 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 14105357616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665153024).

14105357616 is an abundant number, since it is smaller than the sum of its proper divisors (29224948432).

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

14105357616 is a wasteful number, since it uses less digits than its factorization.

14105357616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10839 (or 10833 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 14105357616 in words is "fourteen billion, one hundred five million, three hundred fifty-seven thousand, six hundred sixteen".