14057140608 has 576 divisors, whose sum is σ = 50994459360. Its totient is φ = 3627417600.

The previous prime is 14057140561. The next prime is 14057140651. The reversal of 14057140608 is 80604175041.

It is a happy number.

14057140608 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 7 + 1 + 40 + 608 = 666.

14057140608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×14057140608³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230444898 + ... + 230444958.

Almost surely, 2^14057140608 is an apocalyptic number.

14057140608 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 14057140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25497229680).

14057140608 is an abundant number, since it is smaller than the sum of its proper divisors (36937318752).

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

14057140608 is a wasteful number, since it uses less digits than its factorization.

14057140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14057140608 in words is "fourteen billion, fifty-seven million, one hundred forty thousand, six hundred eight".