12579246048 has 24 divisors (see below), whose sum is σ = 33020521128. Its totient is φ = 4193081984.

The previous prime is 12579246019. The next prime is 12579246059. The reversal of 12579246048 is 84064297521.

12579246048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×12579246048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12579245988 and 12579246006.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 65516811 + ... + 65517002.

It is an arithmetic number, because the mean of its divisors is an integer number (1375855047).

Almost surely, 2^12579246048 is an apocalyptic number.

It is an amenable number.

12579246048 is an abundant number, since it is smaller than the sum of its proper divisors (20441275080).

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

12579246048 is a wasteful number, since it uses less digits than its factorization.

12579246048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131033826 (or 131033818 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 12579246048 in words is "twelve billion, five hundred seventy-nine million, two hundred forty-six thousand, forty-eight".