13430728656 has 60 divisors (see below), whose sum is σ = 37604083140. Its totient is φ = 4474920960.

The previous prime is 13430728643. The next prime is 13430728657. The reversal of 13430728656 is 65682703431.

13430728656 is a `hidden beast` number, since 13 + 4 + 307 + 286 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8332768656 + 5097960000 = 91284^2 + 71400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430728657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324496 + ... + 363536.

It is an arithmetic number, because the mean of its divisors is an integer number (626734719).

Almost surely, 2^13430728656 is an apocalyptic number.

13430728656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13430728656 is an abundant number, since it is smaller than the sum of its proper divisors (24173354484).

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

13430728656 is a wasteful number, since it uses less digits than its factorization.

13430728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41444 (or 41435 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13430728656 in words is "thirteen billion, four hundred thirty million, seven hundred twenty-eight thousand, six hundred fifty-six".