12909664548 has 144 divisors (see below), whose sum is σ = 36827380800. Its totient is φ = 3878513280.

The previous prime is 12909664463. The next prime is 12909664567. The reversal of 12909664548 is 84546690921.

12909664548 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 96 + 6 + 4 + 548 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12909664494 and 12909664503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31563768 + ... + 31564176.

It is an arithmetic number, because the mean of its divisors is an integer number (255745700).

Almost surely, 2^12909664548 is an apocalyptic number.

12909664548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12909664548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413690400).

12909664548 is an abundant number, since it is smaller than the sum of its proper divisors (23917716252).

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

12909664548 is a wasteful number, since it uses less digits than its factorization.

12909664548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12909664548 in words is "twelve billion, nine hundred nine million, six hundred sixty-four thousand, five hundred forty-eight".