12293945856 has 240 divisors, whose sum is σ = 37152086400. Its totient is φ = 4013936640.

The previous prime is 12293945849. The next prime is 12293945861. The reversal of 12293945856 is 65854939221.

12293945856 is a `hidden beast` number, since 1 + 2 + 29 + 39 + 4 + 585 + 6 = 666.

It is a super-3 number, since 3×12293945856³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51438985 + ... + 51439223.

It is an arithmetic number, because the mean of its divisors is an integer number (154800360).

Almost surely, 2^12293945856 is an apocalyptic number.

12293945856 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 12293945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576043200).

12293945856 is an abundant number, since it is smaller than the sum of its proper divisors (24858140544).

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

12293945856 is an frugal number, since it uses more digits than its factorization.

12293945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 305 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 12293945856 in words is "twelve billion, two hundred ninety-three million, nine hundred forty-five thousand, eight hundred fifty-six".