12397409748864 has 1280 divisors, whose sum is σ = 47471289338880. Its totient is φ = 3128265474048.

The previous prime is 12397409748799. The next prime is 12397409748937. The reversal of 12397409748864 is 46884790479321.

12397409748864 is a `hidden beast` number, since 1 + 2 + 3 + 97 + 409 + 74 + 8 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12397409748792 and 12397409748801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1503988327 + ... + 1503996569.

It is an arithmetic number, because the mean of its divisors is an integer number (37086944796).

Almost surely, 2^{12397409748864} is an apocalyptic number.

12397409748864 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 12397409748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735644669440).

12397409748864 is an abundant number, since it is smaller than the sum of its proper divisors (35073879590016).

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

12397409748864 is a wasteful number, since it uses less digits than its factorization.

12397409748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 12397409748864 in words is "twelve trillion, three hundred ninety-seven billion, four hundred nine million, seven hundred forty-eight thousand, eight hundred sixty-four".