14385660960 has 480 divisors, whose sum is σ = 52597641600. Its totient is φ = 3298324480.

The previous prime is 14385660943. The next prime is 14385661063. The reversal of 14385660960 is 6906658341.

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

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161636596 + ... + 161636684.

It is an arithmetic number, because the mean of its divisors is an integer number (109578420).

Almost surely, 2^14385660960 is an apocalyptic number.

14385660960 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 14385660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26298820800).

14385660960 is an abundant number, since it is smaller than the sum of its proper divisors (38211980640).

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

14385660960 is an equidigital number, since it uses as much as digits as its factorization.

14385660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 14385660960 in words is "fourteen billion, three hundred eighty-five million, six hundred sixty thousand, nine hundred sixty".