14728366080 has 336 divisors, whose sum is σ = 53011789740. Its totient is φ = 3925573632.

The previous prime is 14728366069. The next prime is 14728366091. The reversal of 14728366080 is 8066382741.

14728366080 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 8 + 36 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14728366069) and next prime (14728366091).

It can be written as a sum of positive squares in 2 ways, for example, as 14010983424 + 717382656 = 118368^2 + 26784^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7463974 + ... + 7465946.

Almost surely, 2^14728366080 is an apocalyptic number.

14728366080 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 14728366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26505894870).

14728366080 is an abundant number, since it is smaller than the sum of its proper divisors (38283423660).

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

14728366080 is an frugal number, since it uses more digits than its factorization.

14728366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14728366080 in words is "fourteen billion, seven hundred twenty-eight million, three hundred sixty-six thousand, eighty".