12654313360 has 160 divisors (see below), whose sum is σ = 32418112608. Its totient is φ = 4565237760.

The previous prime is 12654313319. The next prime is 12654313379. The reversal of 12654313360 is 6331345621.

12654313360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3639950224 + 9014363136 = 60332^2 + 94944^2 .

It is a super-2 number, since 2×12654313360² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10974544 + ... + 10975696.

Almost surely, 2^12654313360 is an apocalyptic number.

12654313360 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 12654313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209056304).

12654313360 is an abundant number, since it is smaller than the sum of its proper divisors (19763799248).

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

12654313360 is a wasteful number, since it uses less digits than its factorization.

12654313360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 12654313360 its reverse (6331345621), we get a palindrome (18985658981).

The spelling of 12654313360 in words is "twelve billion, six hundred fifty-four million, three hundred thirteen thousand, three hundred sixty".