12853516479104 has 64 divisors (see below), whose sum is σ = 30273830438400. Its totient is φ = 5318696463360.

The previous prime is 12853516479079. The next prime is 12853516479107. The reversal of 12853516479104 is 40197461535821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 12853516479104.

It is not an unprimeable number, because it can be changed into a prime (12853516479107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 247309232 + ... + 247361199.

It is an arithmetic number, because the mean of its divisors is an integer number (473028600600).

It is a 1-persistent number, because it is pandigital, but 2⋅12853516479104 = 25707032958208 is not.

Almost surely, 2^{12853516479104} is an apocalyptic number.

12853516479104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12853516479104 is an abundant number, since it is smaller than the sum of its proper divisors (17420313959296).

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

12853516479104 is an equidigital number, since it uses as much as digits as its factorization.

12853516479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494670481 (or 494670469 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 12853516479104 in words is "twelve trillion, eight hundred fifty-three billion, five hundred sixteen million, four hundred seventy-nine thousand, one hundred four".