14145422688 has 168 divisors, whose sum is σ = 41865721128. Its totient is φ = 4702551552.

The previous prime is 14145422659. The next prime is 14145422719. The reversal of 14145422688 is 88622454141.

14145422688 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 542 + 26 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13693020 + ... + 13694052.

It is an arithmetic number, because the mean of its divisors is an integer number (249200721).

Almost surely, 2^14145422688 is an apocalyptic number.

14145422688 is a gapful number since it is divisible by the number (18) 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 14145422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20932860564).

14145422688 is an abundant number, since it is smaller than the sum of its proper divisors (27720298440).

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

14145422688 is an equidigital number, since it uses as much as digits as its factorization.

14145422688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1625 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 14145422688 in words is "fourteen billion, one hundred forty-five million, four hundred twenty-two thousand, six hundred eighty-eight".