14589319680 has 480 divisors, whose sum is σ = 55301710464. Its totient is φ = 3532750848.

The previous prime is 14589319649. The next prime is 14589319687. The reversal of 14589319680 is 8691398541.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (14589319687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20067477 + ... + 20068203.

Almost surely, 2^14589319680 is an apocalyptic number.

14589319680 is a gapful number since it is divisible by the number (10) 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 14589319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27650855232).

14589319680 is an abundant number, since it is smaller than the sum of its proper divisors (40712390784).

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

14589319680 is a wasteful number, since it uses less digits than its factorization.

14589319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 14589319680 in words is "fourteen billion, five hundred eighty-nine million, three hundred nineteen thousand, six hundred eighty".