12380658363216 has 480 divisors, whose sum is σ = 44326106697600. Its totient is φ = 3167715962880.

The previous prime is 12380658363193. The next prime is 12380658363259. The reversal of 12380658363216 is 61236385608321.

12380658363216 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 0 + 65 + 8 + 363 + 216 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10800606 + ... + 11891778.

It is an arithmetic number, because the mean of its divisors is an integer number (92346055620).

Almost surely, 2^{12380658363216} is an apocalyptic number.

12380658363216 is a gapful number since it is divisible by the number (16) 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 12380658363216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22163053348800).

12380658363216 is an abundant number, since it is smaller than the sum of its proper divisors (31945448334384).

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

12380658363216 is a wasteful number, since it uses less digits than its factorization.

12380658363216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091259 (or 1091250 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12380658363216 in words is "twelve trillion, three hundred eighty billion, six hundred fifty-eight million, three hundred sixty-three thousand, two hundred sixteen".