12983764746240 has 384 divisors, whose sum is σ = 45059082073200. Its totient is φ = 3458539192320.

The previous prime is 12983764746181. The next prime is 12983764746299. The reversal of 12983764746240 is 4264746738921.

12983764746240 is a `hidden beast` number, since 1 + 2 + 98 + 3 + 7 + 6 + 47 + 462 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12983764746181) and next prime (12983764746299).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1502572320 + ... + 1502580960.

Almost surely, 2^{12983764746240} is an apocalyptic number.

12983764746240 is a gapful number since it is divisible by the number (10) 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 12983764746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22529541036600).

12983764746240 is an abundant number, since it is smaller than the sum of its proper divisors (32075317326960).

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

12983764746240 is an equidigital number, since it uses as much as digits as its factorization.

12983764746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 12983764746240 in words is "twelve trillion, nine hundred eighty-three billion, seven hundred sixty-four million, seven hundred forty-six thousand, two hundred forty".