12845138670 has 768 divisors, whose sum is σ = 46847324160. Its totient is φ = 2364899328.

The previous prime is 12845138659. The next prime is 12845138699. The reversal of 12845138670 is 7683154821.

12845138670 is a `hidden beast` number, since 128 + 4 + 513 + 8 + 6 + 7 + 0 = 666.

12845138670 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132424062 + ... + 132424158.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120).

Almost surely, 2^12845138670 is an apocalyptic number.

12845138670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12845138670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23423662080).

12845138670 is an abundant number, since it is smaller than the sum of its proper divisors (34002185490).

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

12845138670 is a wasteful number, since it uses less digits than its factorization.

12845138670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12845138670 in words is "twelve billion, eight hundred forty-five million, one hundred thirty-eight thousand, six hundred seventy".