14042230664 has 256 divisors, whose sum is σ = 35458560000. Its totient is φ = 5157841920.

The previous prime is 14042230633. The next prime is 14042230667. The reversal of 14042230664 is 46603224041.

Together with 21416329335 it forms a betrothed pair.

It is a self number, because there is not a number n which added to its sum of digits gives 14042230664.

It is not an unprimeable number, because it can be changed into a prime (14042230667) 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 63 ways as a sum of consecutive naturals, for example, 78448127 + ... + 78448305.

It is an arithmetic number, because the mean of its divisors is an integer number (138510000).

Almost surely, 2^14042230664 is an apocalyptic number.

14042230664 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 14042230664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280000).

14042230664 is an abundant number, since it is smaller than the sum of its proper divisors (21416329336).

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

14042230664 is a wasteful number, since it uses less digits than its factorization.

14042230664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 14042230664 in words is "fourteen billion, forty-two million, two hundred thirty thousand, six hundred sixty-four".