12378093408 has 168 divisors, whose sum is σ = 36648412416. Its totient is φ = 4113504000.

The previous prime is 12378093341. The next prime is 12378093451. The reversal of 12378093408 is 80439087321.

12378093408 is a `hidden beast` number, since 1 + 237 + 8 + 0 + 9 + 3 + 408 = 666.

12378093408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 27 ways as a sum of consecutive naturals, for example, 10753633 + ... + 10754783.

It is an arithmetic number, because the mean of its divisors is an integer number (218145312).

Almost surely, 2^12378093408 is an apocalyptic number.

12378093408 is a gapful number since it is divisible by the number (18) 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 12378093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324206208).

12378093408 is an abundant number, since it is smaller than the sum of its proper divisors (24270319008).

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

12378093408 is an equidigital number, since it uses as much as digits as its factorization.

12378093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12378093408 in words is "twelve billion, three hundred seventy-eight million, ninety-three thousand, four hundred eight".