12735848385 has 24 divisors (see below), whose sum is σ = 23773584744. Its totient is φ = 6269955840.

The previous prime is 12735848353. The next prime is 12735848387. The reversal of 12735848385 is 58384853721.

12735848385 is a `hidden beast` number, since 1 + 27 + 3 + 584 + 8 + 38 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2058346161 + 10677502224 = 45369^2 + 103332^2 .

It is not a de Polignac number, because 12735848385 - 2⁵ = 12735848353 is a prime.

It is a super-3 number, since 3×12735848385³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12735848387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10884756 + ... + 10885925.

It is an arithmetic number, because the mean of its divisors is an integer number (990566031).

Almost surely, 2^12735848385 is an apocalyptic number.

12735848385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12735848385 is a deficient number, since it is larger than the sum of its proper divisors (11037736359).

12735848385 is a wasteful number, since it uses less digits than its factorization.

12735848385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21770705 (or 21770702 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 12735848385 in words is "twelve billion, seven hundred thirty-five million, eight hundred forty-eight thousand, three hundred eighty-five".