14500165680 has 1440 divisors, whose sum is σ = 69155573760. Its totient is φ = 2645913600.

The previous prime is 14500165663. The next prime is 14500165681. The reversal of 14500165680 is 8656100541.

14500165680 is a `hidden beast` number, since 14 + 500 + 1 + 65 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14500165681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 245765491 + ... + 245765549.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 2^14500165680 is an apocalyptic number.

14500165680 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 14500165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34577786880).

14500165680 is an abundant number, since it is smaller than the sum of its proper divisors (54655408080).

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

14500165680 is a wasteful number, since it uses less digits than its factorization.

14500165680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 145001 and 65680, that added together give a square (210681 = 459²).

The spelling of 14500165680 in words is "fourteen billion, five hundred million, one hundred sixty-five thousand, six hundred eighty".