12838117545 has 192 divisors, whose sum is σ = 26930776320. Its totient is φ = 5777418240.

The previous prime is 12838117517. The next prime is 12838117571. The reversal of 12838117545 is 54571183821.

12838117545 is a `hidden beast` number, since 1 + 28 + 3 + 81 + 1 + 7 + 545 = 666.

12838117545 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12838117545 - 2¹³ = 12838109353 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12838117545.

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 191 ways as a sum of consecutive naturals, for example, 23048407 + ... + 23048963.

It is an arithmetic number, because the mean of its divisors is an integer number (140264460).

Almost surely, 2^12838117545 is an apocalyptic number.

12838117545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12838117545 is an abundant number, since it is smaller than the sum of its proper divisors (14092658775).

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

12838117545 is a wasteful number, since it uses less digits than its factorization.

12838117545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 12838117545 in words is "twelve billion, eight hundred thirty-eight million, one hundred seventeen thousand, five hundred forty-five".