14728718160 has 320 divisors, whose sum is σ = 54806492160. Its totient is φ = 3614146560.

The previous prime is 14728718159. The next prime is 14728718183. The reversal of 14728718160 is 6181782741.

14728718160 is a `hidden beast` number, since 1 + 472 + 8 + 7 + 18 + 160 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12101872 + ... + 12103088.

It is an arithmetic number, because the mean of its divisors is an integer number (171270288).

Almost surely, 2^14728718160 is an apocalyptic number.

14728718160 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 14728718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27403246080).

14728718160 is an abundant number, since it is smaller than the sum of its proper divisors (40077774000).

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

14728718160 is a wasteful number, since it uses less digits than its factorization.

14728718160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

It can be divided in two parts, 14728718 and 160, that added together give a triangular number (14728878 = T₅₄₂₇).

The spelling of 14728718160 in words is "fourteen billion, seven hundred twenty-eight million, seven hundred eighteen thousand, one hundred sixty".