12354938316864 has 1792 divisors, whose sum is σ = 45750173736960. Its totient is φ = 3216263086080.

The previous prime is 12354938316817. The next prime is 12354938316899. The reversal of 12354938316864 is 46861383945321.

12354938316864 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 493 + 83 + 1 + 6 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40244098599 + ... + 40244098905.

It is an arithmetic number, because the mean of its divisors is an integer number (25530230880).

Almost surely, 2^{12354938316864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12354938316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22875086868480).

12354938316864 is an abundant number, since it is smaller than the sum of its proper divisors (33395235420096).

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

12354938316864 is a wasteful number, since it uses less digits than its factorization.

12354938316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 12354938316864 in words is "twelve trillion, three hundred fifty-four billion, nine hundred thirty-eight million, three hundred sixteen thousand, eight hundred sixty-four".