14105075712 has 672 divisors, whose sum is σ = 50830288992. Its totient is φ = 3435134976.

The previous prime is 14105075701. The next prime is 14105075713. The reversal of 14105075712 is 21757050141.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14105075713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266133478 + ... + 266133530.

It is an arithmetic number, because the mean of its divisors is an integer number (75640311).

Almost surely, 2^14105075712 is an apocalyptic number.

14105075712 is a gapful number since it is divisible by the number (12) 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 14105075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25415144496).

14105075712 is an abundant number, since it is smaller than the sum of its proper divisors (36725213280).

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

14105075712 is a wasteful number, since it uses less digits than its factorization.

14105075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

The spelling of 14105075712 in words is "fourteen billion, one hundred five million, seventy-five thousand, seven hundred twelve".