14085197280 has 288 divisors, whose sum is σ = 59926583808. Its totient is φ = 2926771200.

The previous prime is 14085197201. The next prime is 14085197317. The reversal of 14085197280 is 8279158041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47365 + ... + 174395.

It is an arithmetic number, because the mean of its divisors is an integer number (208078416).

Almost surely, 2^14085197280 is an apocalyptic number.

14085197280 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 14085197280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963291904).

14085197280 is an abundant number, since it is smaller than the sum of its proper divisors (45841386528).

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

14085197280 is a wasteful number, since it uses less digits than its factorization.

14085197280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127070 (or 127059 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 14085197280 in words is "fourteen billion, eighty-five million, one hundred ninety-seven thousand, two hundred eighty".