12163983174000 has 1920 divisors, whose sum is σ = 54513786322944. Its totient is φ = 2463436800000.

The previous prime is 12163983173941. The next prime is 12163983174011. The reversal of 12163983174000 is 47138936121.

12163983174000 is a `hidden beast` number, since 1 + 2 + 1 + 639 + 8 + 3 + 1 + 7 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×12163983174000³ (a number of 40 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2456871525 + ... + 2456876475.

Almost surely, 2^{12163983174000} is an apocalyptic number.

12163983174000 is a gapful number since it is divisible by the number (10) 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 12163983174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27256893161472).

12163983174000 is an abundant number, since it is smaller than the sum of its proper divisors (42349803148944).

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

12163983174000 is a wasteful number, since it uses less digits than its factorization.

12163983174000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12163983174000 in words is "twelve trillion, one hundred sixty-three billion, nine hundred eighty-three million, one hundred seventy-four thousand".