14142752064 has 224 divisors, whose sum is σ = 50312482560. Its totient is φ = 3803037696.

The previous prime is 14142752059. The next prime is 14142752069. The reversal of 14142752064 is 46025724141.

It is an interprime number because it is at equal distance from previous prime (14142752059) and next prime (14142752069).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142752069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171244 + ... + 240020.

Almost surely, 2^14142752064 is an apocalyptic number.

14142752064 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 14142752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25156241280).

14142752064 is an abundant number, since it is smaller than the sum of its proper divisors (36169730496).

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

14142752064 is a wasteful number, since it uses less digits than its factorization.

14142752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68822 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14142752064 in words is "fourteen billion, one hundred forty-two million, seven hundred fifty-two thousand, sixty-four".