14726853960 has 768 divisors, whose sum is σ = 58687856640. Its totient is φ = 2926264320.

The previous prime is 14726853917. The next prime is 14726853983. The reversal of 14726853960 is 6935862741.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 115959417 + ... + 115959543.

It is an arithmetic number, because the mean of its divisors is an integer number (76416480).

It is a 1-persistent number, because it is pandigital, but 2⋅14726853960 = 29453707920 is not.

Almost surely, 2^14726853960 is an apocalyptic number.

14726853960 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 14726853960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29343928320).

14726853960 is an abundant number, since it is smaller than the sum of its proper divisors (43961002680).

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

14726853960 is a wasteful number, since it uses less digits than its factorization.

14726853960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 14726853960 in words is "fourteen billion, seven hundred twenty-six million, eight hundred fifty-three thousand, nine hundred sixty".