12409479648 has 72 divisors (see below), whose sum is σ = 35543453400. Its totient is φ = 4106721024.

The previous prime is 12409479637. The next prime is 12409479661. The reversal of 12409479648 is 84697490421.

12409479648 is a `hidden beast` number, since 124 + 0 + 9 + 479 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12409479594 and 12409479603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114963 + ... + 195026.

It is an arithmetic number, because the mean of its divisors is an integer number (493659075).

Almost surely, 2^12409479648 is an apocalyptic number.

12409479648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12409479648 is an abundant number, since it is smaller than the sum of its proper divisors (23133973752).

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

12409479648 is a wasteful number, since it uses less digits than its factorization.

12409479648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310144 (or 310133 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12409479648 in words is "twelve billion, four hundred nine million, four hundred seventy-nine thousand, six hundred forty-eight".