14675256960 has 768 divisors, whose sum is σ = 59777222400. Its totient is φ = 3052707840.

The previous prime is 14675256949. The next prime is 14675257001. The reversal of 14675256960 is 6965257641.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206693725 + ... + 206693795.

It is an arithmetic number, because the mean of its divisors is an integer number (77834925).

Almost surely, 2^14675256960 is an apocalyptic number.

14675256960 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 14675256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29888611200).

14675256960 is an abundant number, since it is smaller than the sum of its proper divisors (45101965440).

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

14675256960 is an equidigital number, since it uses as much as digits as its factorization.

14675256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 14675256960 in words is "fourteen billion, six hundred seventy-five million, two hundred fifty-six thousand, nine hundred sixty".