12674045952 has 288 divisors, whose sum is σ = 38778929280. Its totient is φ = 3981312000.

The previous prime is 12674045933. The next prime is 12674045963. The reversal of 12674045952 is 25954047621.

12674045952 is a `hidden beast` number, since 12 + 6 + 7 + 40 + 4 + 595 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12674045898 and 12674045907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23426802 + ... + 23427342.

It is an arithmetic number, because the mean of its divisors is an integer number (134649060).

Almost surely, 2^12674045952 is an apocalyptic number.

12674045952 is a gapful number since it is divisible by the number (12) 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 12674045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389464640).

12674045952 is an abundant number, since it is smaller than the sum of its proper divisors (26104883328).

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

12674045952 is a wasteful number, since it uses less digits than its factorization.

12674045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12674045952 in words is "twelve billion, six hundred seventy-four million, forty-five thousand, nine hundred fifty-two".