12348209664 has 480 divisors, whose sum is σ = 43019817984. Its totient is φ = 3335454720.

The previous prime is 12348209647. The next prime is 12348209683. The reversal of 12348209664 is 46690284321.

12348209664 is a `hidden beast` number, since 1 + 23 + 482 + 0 + 96 + 64 = 666.

It is a super-2 number, since 2×12348209664² (a number of 21 digits) contains 22 as substring.

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, 52996492 + ... + 52996724.

Almost surely, 2^12348209664 is an apocalyptic number.

12348209664 is a gapful number since it is divisible by the number (14) 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 12348209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509908992).

12348209664 is an abundant number, since it is smaller than the sum of its proper divisors (30671608320).

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

12348209664 is a wasteful number, since it uses less digits than its factorization.

12348209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12348209664 in words is "twelve billion, three hundred forty-eight million, two hundred nine thousand, six hundred sixty-four".