12974679648 has 288 divisors, whose sum is σ = 43621433856. Its totient is φ = 3581190144.

The previous prime is 12974679647. The next prime is 12974679677. The reversal of 12974679648 is 84697647921.

12974679648 is a `hidden beast` number, since 129 + 7 + 467 + 9 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12974679647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8407965 + ... + 8409507.

It is an arithmetic number, because the mean of its divisors is an integer number (151463312).

Almost surely, 2^12974679648 is an apocalyptic number.

12974679648 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 12974679648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810716928).

12974679648 is an abundant number, since it is smaller than the sum of its proper divisors (30646754208).

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

12974679648 is a wasteful number, since it uses less digits than its factorization.

12974679648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1695 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 12974679648 in words is "twelve billion, nine hundred seventy-four million, six hundred seventy-nine thousand, six hundred forty-eight".