13146517728 has 84 divisors (see below), whose sum is σ = 38805627168. Its totient is φ = 4382164800.

The previous prime is 13146517723. The next prime is 13146517739. The reversal of 13146517728 is 82771564131.

13146517728 is a `hidden beast` number, since 13 + 1 + 465 + 177 + 2 + 8 = 666.

It is a super-4 number, since 4×13146517728⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146517723) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 258448 + ... + 305103.

It is an arithmetic number, because the mean of its divisors is an integer number (461971752).

Almost surely, 2^13146517728 is an apocalyptic number.

13146517728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13146517728 is an abundant number, since it is smaller than the sum of its proper divisors (25659109440).

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

13146517728 is an frugal number, since it uses more digits than its factorization.

13146517728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563579 (or 563556 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 13146517728 in words is "thirteen billion, one hundred forty-six million, five hundred seventeen thousand, seven hundred twenty-eight".