14091764568 has 192 divisors, whose sum is σ = 43285052160. Its totient is φ = 3804159744.

The previous prime is 14091764567. The next prime is 14091764569. The reversal of 14091764568 is 86546719041.

It is an interprime number because it is at equal distance from previous prime (14091764567) and next prime (14091764569).

It is a self number, because there is not a number n which added to its sum of digits gives 14091764568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091764567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2241846 + ... + 2248122.

It is an arithmetic number, because the mean of its divisors is an integer number (225442980).

Almost surely, 2^14091764568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14091764568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21642526080).

14091764568 is an abundant number, since it is smaller than the sum of its proper divisors (29193287592).

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

14091764568 is a wasteful number, since it uses less digits than its factorization.

14091764568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 14091764568 in words is "fourteen billion, ninety-one million, seven hundred sixty-four thousand, five hundred sixty-eight".