12646237968 has 320 divisors, whose sum is σ = 47030323200. Its totient is φ = 3159544320.

The previous prime is 12646237963. The next prime is 12646237999. The reversal of 12646237968 is 86973264621.

12646237968 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 623 + 7 + 9 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12646237963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738463 + ... + 755393.

It is an arithmetic number, because the mean of its divisors is an integer number (146969760).

Almost surely, 2^12646237968 is an apocalyptic number.

12646237968 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 12646237968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23515161600).

12646237968 is an abundant number, since it is smaller than the sum of its proper divisors (34384085232).

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

12646237968 is a wasteful number, since it uses less digits than its factorization.

12646237968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16987 (or 16975 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 12646237968 in words is "twelve billion, six hundred forty-six million, two hundred thirty-seven thousand, nine hundred sixty-eight".